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Finding the Third Proportional to 176,330 and 272,438

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Solution

The third proportional to 176,330 and 272,438 is: 420,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,330 : 272,438 = 272,438 : x
  2. Step 2: Convert to fraction form
    176,330/272,438 = 272,438/x
  3. Step 3: Cross multiply
    176,330x = 272,438 × 272,438
  4. Step 4: Simplify right side
    176,330x = 74,222,463,844
  5. Step 5: Solve for x
    x = 74,222,463,844/176,330
  6. Step 6: Final answer
    x = 420,929.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.