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Finding the Third Proportional to 207,909 and 383,419

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Solution

The third proportional to 207,909 and 383,419 is: 707,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,909 : 383,419 = 383,419 : x
  2. Step 2: Convert to fraction form
    207,909/383,419 = 383,419/x
  3. Step 3: Cross multiply
    207,909x = 383,419 × 383,419
  4. Step 4: Simplify right side
    207,909x = 147,010,129,561
  5. Step 5: Solve for x
    x = 147,010,129,561/207,909
  6. Step 6: Final answer
    x = 707,088.82

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.