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Finding the Third Proportional to 207,933 and 423,402

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Solution

The third proportional to 207,933 and 423,402 is: 862,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,933 : 423,402 = 423,402 : x
  2. Step 2: Convert to fraction form
    207,933/423,402 = 423,402/x
  3. Step 3: Cross multiply
    207,933x = 423,402 × 423,402
  4. Step 4: Simplify right side
    207,933x = 179,269,253,604
  5. Step 5: Solve for x
    x = 179,269,253,604/207,933
  6. Step 6: Final answer
    x = 862,149.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.