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Finding the Third Proportional to 86,249.81 and 132,108.47

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Solution

The third proportional to 86,249.81 and 132,108.47 is: 202,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,249.81 : 132,108.47 = 132,108.47 : x
  2. Step 2: Convert to fraction form
    86,249.81/132,108.47 = 132,108.47/x
  3. Step 3: Cross multiply
    86,249.81x = 132,108.47 × 132,108.47
  4. Step 4: Simplify right side
    86,249.81x = 17,452,647,515.47
  5. Step 5: Solve for x
    x = 17,452,647,515.47/86,249.81
  6. Step 6: Final answer
    x = 202,349.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.