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Finding the Third Proportional to 275,158.69 and 411,472.13

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Solution

The third proportional to 275,158.69 and 411,472.13 is: 615,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,158.69 : 411,472.13 = 411,472.13 : x
  2. Step 2: Convert to fraction form
    275,158.69/411,472.13 = 411,472.13/x
  3. Step 3: Cross multiply
    275,158.69x = 411,472.13 × 411,472.13
  4. Step 4: Simplify right side
    275,158.69x = 169,309,309,652.02
  5. Step 5: Solve for x
    x = 169,309,309,652.02/275,158.69
  6. Step 6: Final answer
    x = 615,315.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.