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Finding the Third Proportional to 129,215.25 and 198,561.38

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Solution

The third proportional to 129,215.25 and 198,561.38 is: 305,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,215.25 : 198,561.38 = 198,561.38 : x
  2. Step 2: Convert to fraction form
    129,215.25/198,561.38 = 198,561.38/x
  3. Step 3: Cross multiply
    129,215.25x = 198,561.38 × 198,561.38
  4. Step 4: Simplify right side
    129,215.25x = 39,426,619,641.89
  5. Step 5: Solve for x
    x = 39,426,619,641.89/129,215.25
  6. Step 6: Final answer
    x = 305,123.58

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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.