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Finding the Third Proportional to 177,319.50 and 272,559

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Solution

The third proportional to 177,319.50 and 272,559 is: 418,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,319.50 : 272,559 = 272,559 : x
  2. Step 2: Convert to fraction form
    177,319.50/272,559 = 272,559/x
  3. Step 3: Cross multiply
    177,319.50x = 272,559 × 272,559
  4. Step 4: Simplify right side
    177,319.50x = 74,288,408,481
  5. Step 5: Solve for x
    x = 74,288,408,481/177,319.50
  6. Step 6: Final answer
    x = 418,952.28

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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.