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Finding the Third Proportional to 218,531.25 and 337,501.50

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Solution

The third proportional to 218,531.25 and 337,501.50 is: 521,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,531.25 : 337,501.50 = 337,501.50 : x
  2. Step 2: Convert to fraction form
    218,531.25/337,501.50 = 337,501.50/x
  3. Step 3: Cross multiply
    218,531.25x = 337,501.50 × 337,501.50
  4. Step 4: Simplify right side
    218,531.25x = 113,907,262,502.25
  5. Step 5: Solve for x
    x = 113,907,262,502.25/218,531.25
  6. Step 6: Final answer
    x = 521,240.15

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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.