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Finding the Third Proportional to 138,174.75 and 218,794.50

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Solution

The third proportional to 138,174.75 and 218,794.50 is: 346,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,174.75 : 218,794.50 = 218,794.50 : x
  2. Step 2: Convert to fraction form
    138,174.75/218,794.50 = 218,794.50/x
  3. Step 3: Cross multiply
    138,174.75x = 218,794.50 × 218,794.50
  4. Step 4: Simplify right side
    138,174.75x = 47,871,033,230.25
  5. Step 5: Solve for x
    x = 47,871,033,230.25/138,174.75
  6. Step 6: Final answer
    x = 346,452.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.