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Finding the Third Proportional to 87,840 and 189,472

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Solution

The third proportional to 87,840 and 189,472 is: 408,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,840 : 189,472 = 189,472 : x
  2. Step 2: Convert to fraction form
    87,840/189,472 = 189,472/x
  3. Step 3: Cross multiply
    87,840x = 189,472 × 189,472
  4. Step 4: Simplify right side
    87,840x = 35,899,638,784
  5. Step 5: Solve for x
    x = 35,899,638,784/87,840
  6. Step 6: Final answer
    x = 408,693.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.