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Finding the Third Proportional to 87,658 and 142,415

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Solution

The third proportional to 87,658 and 142,415 is: 231,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,658 : 142,415 = 142,415 : x
  2. Step 2: Convert to fraction form
    87,658/142,415 = 142,415/x
  3. Step 3: Cross multiply
    87,658x = 142,415 × 142,415
  4. Step 4: Simplify right side
    87,658x = 20,282,032,225
  5. Step 5: Solve for x
    x = 20,282,032,225/87,658
  6. Step 6: Final answer
    x = 231,376.85

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.