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Finding the Third Proportional to 177,295.50 and 272,511

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Solution

The third proportional to 177,295.50 and 272,511 is: 418,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,295.50 : 272,511 = 272,511 : x
  2. Step 2: Convert to fraction form
    177,295.50/272,511 = 272,511/x
  3. Step 3: Cross multiply
    177,295.50x = 272,511 × 272,511
  4. Step 4: Simplify right side
    177,295.50x = 74,262,245,121
  5. Step 5: Solve for x
    x = 74,262,245,121/177,295.50
  6. Step 6: Final answer
    x = 418,861.42

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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.