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Finding the Third Proportional to 320,129 and 482,304

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Solution

The third proportional to 320,129 and 482,304 is: 726,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,129 : 482,304 = 482,304 : x
  2. Step 2: Convert to fraction form
    320,129/482,304 = 482,304/x
  3. Step 3: Cross multiply
    320,129x = 482,304 × 482,304
  4. Step 4: Simplify right side
    320,129x = 232,617,148,416
  5. Step 5: Solve for x
    x = 232,617,148,416/320,129
  6. Step 6: Final answer
    x = 726,635.66

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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.