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Finding the Third Proportional to 218,227.50 and 338,688

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Solution

The third proportional to 218,227.50 and 338,688 is: 525,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,227.50 : 338,688 = 338,688 : x
  2. Step 2: Convert to fraction form
    218,227.50/338,688 = 338,688/x
  3. Step 3: Cross multiply
    218,227.50x = 338,688 × 338,688
  4. Step 4: Simplify right side
    218,227.50x = 114,709,561,344
  5. Step 5: Solve for x
    x = 114,709,561,344/218,227.50
  6. Step 6: Final answer
    x = 525,642.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.