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Finding the Third Proportional to 86,454 and 129,132

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Solution

The third proportional to 86,454 and 129,132 is: 192,877.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,454 : 129,132 = 129,132 : x
  2. Step 2: Convert to fraction form
    86,454/129,132 = 129,132/x
  3. Step 3: Cross multiply
    86,454x = 129,132 × 129,132
  4. Step 4: Simplify right side
    86,454x = 16,675,073,424
  5. Step 5: Solve for x
    x = 16,675,073,424/86,454
  6. Step 6: Final answer
    x = 192,877.99

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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.