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Finding the Third Proportional to 80,686.13 and 115,237.69

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Solution

The third proportional to 80,686.13 and 115,237.69 is: 164,584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,686.13 : 115,237.69 = 115,237.69 : x
  2. Step 2: Convert to fraction form
    80,686.13/115,237.69 = 115,237.69/x
  3. Step 3: Cross multiply
    80,686.13x = 115,237.69 × 115,237.69
  4. Step 4: Simplify right side
    80,686.13x = 13,279,724,620.35
  5. Step 5: Solve for x
    x = 13,279,724,620.35/80,686.13
  6. Step 6: Final answer
    x = 164,584.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.