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Finding the Third Proportional to 402,540 and 853,032

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Solution

The third proportional to 402,540 and 853,032 is: 1,807,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,540 : 853,032 = 853,032 : x
  2. Step 2: Convert to fraction form
    402,540/853,032 = 853,032/x
  3. Step 3: Cross multiply
    402,540x = 853,032 × 853,032
  4. Step 4: Simplify right side
    402,540x = 727,663,593,024
  5. Step 5: Solve for x
    x = 727,663,593,024/402,540
  6. Step 6: Final answer
    x = 1,807,680.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.