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Finding the Third Proportional to 218,655.75 and 337,321.50

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Solution

The third proportional to 218,655.75 and 337,321.50 is: 520,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,655.75 : 337,321.50 = 337,321.50 : x
  2. Step 2: Convert to fraction form
    218,655.75/337,321.50 = 337,321.50/x
  3. Step 3: Cross multiply
    218,655.75x = 337,321.50 × 337,321.50
  4. Step 4: Simplify right side
    218,655.75x = 113,785,794,362.25
  5. Step 5: Solve for x
    x = 113,785,794,362.25/218,655.75
  6. Step 6: Final answer
    x = 520,387.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.