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Finding the Third Proportional to 223,543.50 and 338,204.50

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Solution

The third proportional to 223,543.50 and 338,204.50 is: 511,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,543.50 : 338,204.50 = 338,204.50 : x
  2. Step 2: Convert to fraction form
    223,543.50/338,204.50 = 338,204.50/x
  3. Step 3: Cross multiply
    223,543.50x = 338,204.50 × 338,204.50
  4. Step 4: Simplify right side
    223,543.50x = 114,382,283,820.25
  5. Step 5: Solve for x
    x = 114,382,283,820.25/223,543.50
  6. Step 6: Final answer
    x = 511,677.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.