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Finding the Third Proportional to 385,139,448 and 820,083,031.88

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Solution

The third proportional to 385,139,448 and 820,083,031.88 is: 1,746,214,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,139,448 : 820,083,031.88 = 820,083,031.88 : x
  2. Step 2: Convert to fraction form
    385,139,448/820,083,031.88 = 820,083,031.88/x
  3. Step 3: Cross multiply
    385,139,448x = 820,083,031.88 × 820,083,031.88
  4. Step 4: Simplify right side
    385,139,448x = 672,536,179,169,292,288
  5. Step 5: Solve for x
    x = 672,536,179,169,292,288/385,139,448
  6. Step 6: Final answer
    x = 1,746,214,735.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.