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Finding the Third Proportional to 275,158 and 411,472

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Solution

The third proportional to 275,158 and 411,472 is: 615,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,158 : 411,472 = 411,472 : x
  2. Step 2: Convert to fraction form
    275,158/411,472 = 411,472/x
  3. Step 3: Cross multiply
    275,158x = 411,472 × 411,472
  4. Step 4: Simplify right side
    275,158x = 169,309,206,784
  5. Step 5: Solve for x
    x = 169,309,206,784/275,158
  6. Step 6: Final answer
    x = 615,316.32

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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.