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Finding the Third Proportional to 86,200.88 and 129,419.44

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Solution

The third proportional to 86,200.88 and 129,419.44 is: 194,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,200.88 : 129,419.44 = 129,419.44 : x
  2. Step 2: Convert to fraction form
    86,200.88/129,419.44 = 129,419.44/x
  3. Step 3: Cross multiply
    86,200.88x = 129,419.44 × 129,419.44
  4. Step 4: Simplify right side
    86,200.88x = 16,749,390,802.82
  5. Step 5: Solve for x
    x = 16,749,390,802.82/86,200.88
  6. Step 6: Final answer
    x = 194,306.51

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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.