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Finding the Third Proportional to 87,664 and 127,942

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Solution

The third proportional to 87,664 and 127,942 is: 186,726.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,664 : 127,942 = 127,942 : x
  2. Step 2: Convert to fraction form
    87,664/127,942 = 127,942/x
  3. Step 3: Cross multiply
    87,664x = 127,942 × 127,942
  4. Step 4: Simplify right side
    87,664x = 16,369,155,364
  5. Step 5: Solve for x
    x = 16,369,155,364/87,664
  6. Step 6: Final answer
    x = 186,726.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.