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Finding the Third Proportional to 87,720 and 128,304

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Solution

The third proportional to 87,720 and 128,304 is: 187,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,720 : 128,304 = 128,304 : x
  2. Step 2: Convert to fraction form
    87,720/128,304 = 128,304/x
  3. Step 3: Cross multiply
    87,720x = 128,304 × 128,304
  4. Step 4: Simplify right side
    87,720x = 16,461,916,416
  5. Step 5: Solve for x
    x = 16,461,916,416/87,720
  6. Step 6: Final answer
    x = 187,664.35

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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.