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Finding the Third Proportional to 207,478 and 329,363

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Solution

The third proportional to 207,478 and 329,363 is: 522,850.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,478 : 329,363 = 329,363 : x
  2. Step 2: Convert to fraction form
    207,478/329,363 = 329,363/x
  3. Step 3: Cross multiply
    207,478x = 329,363 × 329,363
  4. Step 4: Simplify right side
    207,478x = 108,479,985,769
  5. Step 5: Solve for x
    x = 108,479,985,769/207,478
  6. Step 6: Final answer
    x = 522,850.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.