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Finding the Third Proportional to 86,578.88 and 129,519.84

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Solution

The third proportional to 86,578.88 and 129,519.84 is: 193,758.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,578.88 : 129,519.84 = 129,519.84 : x
  2. Step 2: Convert to fraction form
    86,578.88/129,519.84 = 129,519.84/x
  3. Step 3: Cross multiply
    86,578.88x = 129,519.84 × 129,519.84
  4. Step 4: Simplify right side
    86,578.88x = 16,775,389,925.02
  5. Step 5: Solve for x
    x = 16,775,389,925.02/86,578.88
  6. Step 6: Final answer
    x = 193,758.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.