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Finding the Third Proportional to 218,713.50 and 337,749.75

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Solution

The third proportional to 218,713.50 and 337,749.75 is: 521,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,713.50 : 337,749.75 = 337,749.75 : x
  2. Step 2: Convert to fraction form
    218,713.50/337,749.75 = 337,749.75/x
  3. Step 3: Cross multiply
    218,713.50x = 337,749.75 × 337,749.75
  4. Step 4: Simplify right side
    218,713.50x = 114,074,893,625.06
  5. Step 5: Solve for x
    x = 114,074,893,625.06/218,713.50
  6. Step 6: Final answer
    x = 521,572.26

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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.