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Finding the Third Proportional to 87,932.81 and 136,243.13

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Solution

The third proportional to 87,932.81 and 136,243.13 is: 211,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,932.81 : 136,243.13 = 136,243.13 : x
  2. Step 2: Convert to fraction form
    87,932.81/136,243.13 = 136,243.13/x
  3. Step 3: Cross multiply
    87,932.81x = 136,243.13 × 136,243.13
  4. Step 4: Simplify right side
    87,932.81x = 18,562,189,109.77
  5. Step 5: Solve for x
    x = 18,562,189,109.77/87,932.81
  6. Step 6: Final answer
    x = 211,095.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.