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Finding the Third Proportional to 86,464 and 129,145

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Solution

The third proportional to 86,464 and 129,145 is: 192,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,464 : 129,145 = 129,145 : x
  2. Step 2: Convert to fraction form
    86,464/129,145 = 129,145/x
  3. Step 3: Cross multiply
    86,464x = 129,145 × 129,145
  4. Step 4: Simplify right side
    86,464x = 16,678,431,025
  5. Step 5: Solve for x
    x = 16,678,431,025/86,464
  6. Step 6: Final answer
    x = 192,894.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.