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Finding the Third Proportional to 274,288 and 411,432

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Solution

The third proportional to 274,288 and 411,432 is: 617,148

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,288 : 411,432 = 411,432 : x
  2. Step 2: Convert to fraction form
    274,288/411,432 = 411,432/x
  3. Step 3: Cross multiply
    274,288x = 411,432 × 411,432
  4. Step 4: Simplify right side
    274,288x = 169,276,290,624
  5. Step 5: Solve for x
    x = 169,276,290,624/274,288
  6. Step 6: Final answer
    x = 617,148

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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.