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Finding the Third Proportional to 302,359 and 457,449

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Solution

The third proportional to 302,359 and 457,449 is: 692,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,359 : 457,449 = 457,449 : x
  2. Step 2: Convert to fraction form
    302,359/457,449 = 457,449/x
  3. Step 3: Cross multiply
    302,359x = 457,449 × 457,449
  4. Step 4: Simplify right side
    302,359x = 209,259,587,601
  5. Step 5: Solve for x
    x = 209,259,587,601/302,359
  6. Step 6: Final answer
    x = 692,089.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.