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Finding the Third Proportional to 87,526 and 128,504

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Solution

The third proportional to 87,526 and 128,504 is: 188,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,526 : 128,504 = 128,504 : x
  2. Step 2: Convert to fraction form
    87,526/128,504 = 128,504/x
  3. Step 3: Cross multiply
    87,526x = 128,504 × 128,504
  4. Step 4: Simplify right side
    87,526x = 16,513,278,016
  5. Step 5: Solve for x
    x = 16,513,278,016/87,526
  6. Step 6: Final answer
    x = 188,667.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.