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Finding the Third Proportional to 372,442 and 803,940

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Solution

The third proportional to 372,442 and 803,940 is: 1,735,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,442 : 803,940 = 803,940 : x
  2. Step 2: Convert to fraction form
    372,442/803,940 = 803,940/x
  3. Step 3: Cross multiply
    372,442x = 803,940 × 803,940
  4. Step 4: Simplify right side
    372,442x = 646,319,523,600
  5. Step 5: Solve for x
    x = 646,319,523,600/372,442
  6. Step 6: Final answer
    x = 1,735,356.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.