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Finding the Third Proportional to 129,220.95 and 167,177.36

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Solution

The third proportional to 129,220.95 and 167,177.36 is: 216,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,220.95 : 167,177.36 = 167,177.36 : x
  2. Step 2: Convert to fraction form
    129,220.95/167,177.36 = 167,177.36/x
  3. Step 3: Cross multiply
    129,220.95x = 167,177.36 × 167,177.36
  4. Step 4: Simplify right side
    129,220.95x = 27,948,268,181.52
  5. Step 5: Solve for x
    x = 27,948,268,181.52/129,220.95
  6. Step 6: Final answer
    x = 216,282.80

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.