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Finding the Third Proportional to 794,267,288 and 1,731,547,374.50

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Solution

The third proportional to 794,267,288 and 1,731,547,374.50 is: 3,774,870,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,267,288 : 1,731,547,374.50 = 1,731,547,374.50 : x
  2. Step 2: Convert to fraction form
    794,267,288/1,731,547,374.50 = 1,731,547,374.50/x
  3. Step 3: Cross multiply
    794,267,288x = 1,731,547,374.50 × 1,731,547,374.50
  4. Step 4: Simplify right side
    794,267,288x = 2,998,256,310,137,843,200
  5. Step 5: Solve for x
    x = 2,998,256,310,137,843,200/794,267,288
  6. Step 6: Final answer
    x = 3,774,870,695.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.