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Finding the Third Proportional to 177,244 and 272,438

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Solution

The third proportional to 177,244 and 272,438 is: 418,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,244 : 272,438 = 272,438 : x
  2. Step 2: Convert to fraction form
    177,244/272,438 = 272,438/x
  3. Step 3: Cross multiply
    177,244x = 272,438 × 272,438
  4. Step 4: Simplify right side
    177,244x = 74,222,463,844
  5. Step 5: Solve for x
    x = 74,222,463,844/177,244
  6. Step 6: Final answer
    x = 418,758.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.