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Finding the Third Proportional to 220,677.75 and 338,124.38

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Solution

The third proportional to 220,677.75 and 338,124.38 is: 518,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,677.75 : 338,124.38 = 338,124.38 : x
  2. Step 2: Convert to fraction form
    220,677.75/338,124.38 = 338,124.38/x
  3. Step 3: Cross multiply
    220,677.75x = 338,124.38 × 338,124.38
  4. Step 4: Simplify right side
    220,677.75x = 114,328,092,969.14
  5. Step 5: Solve for x
    x = 114,328,092,969.14/220,677.75
  6. Step 6: Final answer
    x = 518,077.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.