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Finding the Third Proportional to 87,132 and 128,146

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Solution

The third proportional to 87,132 and 128,146 is: 188,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,132 : 128,146 = 128,146 : x
  2. Step 2: Convert to fraction form
    87,132/128,146 = 128,146/x
  3. Step 3: Cross multiply
    87,132x = 128,146 × 128,146
  4. Step 4: Simplify right side
    87,132x = 16,421,397,316
  5. Step 5: Solve for x
    x = 16,421,397,316/87,132
  6. Step 6: Final answer
    x = 188,465.75

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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.