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Finding the Third Proportional to 218,535.75 and 337,507.88

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Solution

The third proportional to 218,535.75 and 337,507.88 is: 521,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,535.75 : 337,507.88 = 337,507.88 : x
  2. Step 2: Convert to fraction form
    218,535.75/337,507.88 = 337,507.88/x
  3. Step 3: Cross multiply
    218,535.75x = 337,507.88 × 337,507.88
  4. Step 4: Simplify right side
    218,535.75x = 113,911,565,687.02
  5. Step 5: Solve for x
    x = 113,911,565,687.02/218,535.75
  6. Step 6: Final answer
    x = 521,249.11

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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.