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Finding the Third Proportional to 177,248 and 272,443

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Solution

The third proportional to 177,248 and 272,443 is: 418,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,248 : 272,443 = 272,443 : x
  2. Step 2: Convert to fraction form
    177,248/272,443 = 272,443/x
  3. Step 3: Cross multiply
    177,248x = 272,443 × 272,443
  4. Step 4: Simplify right side
    177,248x = 74,225,188,249
  5. Step 5: Solve for x
    x = 74,225,188,249/177,248
  6. Step 6: Final answer
    x = 418,764.60

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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.