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Finding the Third Proportional to 832,961,298,213 and 1,689,343,572,429

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Solution

The third proportional to 832,961,298,213 and 1,689,343,572,429 is: 3,426,187,641,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,961,298,213 : 1,689,343,572,429 = 1,689,343,572,429 : x
  2. Step 2: Convert to fraction form
    832,961,298,213/1,689,343,572,429 = 1,689,343,572,429/x
  3. Step 3: Cross multiply
    832,961,298,213x = 1,689,343,572,429 × 1,689,343,572,429
  4. Step 4: Simplify right side
    832,961,298,213x = 2,853,881,705,707,175,980,040,192
  5. Step 5: Solve for x
    x = 2,853,881,705,707,175,980,040,192/832,961,298,213
  6. Step 6: Final answer
    x = 3,426,187,641,406.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.