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Finding the Third Proportional to 78,744 and 106,086

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Solution

The third proportional to 78,744 and 106,086 is: 142,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,744 : 106,086 = 106,086 : x
  2. Step 2: Convert to fraction form
    78,744/106,086 = 106,086/x
  3. Step 3: Cross multiply
    78,744x = 106,086 × 106,086
  4. Step 4: Simplify right side
    78,744x = 11,254,239,396
  5. Step 5: Solve for x
    x = 11,254,239,396/78,744
  6. Step 6: Final answer
    x = 142,921.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.