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Finding the Third Proportional to 402,542 and 853,036

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Solution

The third proportional to 402,542 and 853,036 is: 1,807,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,542 : 853,036 = 853,036 : x
  2. Step 2: Convert to fraction form
    402,542/853,036 = 853,036/x
  3. Step 3: Cross multiply
    402,542x = 853,036 × 853,036
  4. Step 4: Simplify right side
    402,542x = 727,670,417,296
  5. Step 5: Solve for x
    x = 727,670,417,296/402,542
  6. Step 6: Final answer
    x = 1,807,688.18

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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.