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Finding the Third Proportional to 86,545.97 and 132,848.86

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Solution

The third proportional to 86,545.97 and 132,848.86 is: 203,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,545.97 : 132,848.86 = 132,848.86 : x
  2. Step 2: Convert to fraction form
    86,545.97/132,848.86 = 132,848.86/x
  3. Step 3: Cross multiply
    86,545.97x = 132,848.86 × 132,848.86
  4. Step 4: Simplify right side
    86,545.97x = 17,648,819,437.24
  5. Step 5: Solve for x
    x = 17,648,819,437.24/86,545.97
  6. Step 6: Final answer
    x = 203,924.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.