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Finding the Third Proportional to 272,632 and 418,480

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Solution

The third proportional to 272,632 and 418,480 is: 642,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,632 : 418,480 = 418,480 : x
  2. Step 2: Convert to fraction form
    272,632/418,480 = 418,480/x
  3. Step 3: Cross multiply
    272,632x = 418,480 × 418,480
  4. Step 4: Simplify right side
    272,632x = 175,125,510,400
  5. Step 5: Solve for x
    x = 175,125,510,400/272,632
  6. Step 6: Final answer
    x = 642,351.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.