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Finding the Third Proportional to 129,360.38 and 201,908.25

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Solution

The third proportional to 129,360.38 and 201,908.25 is: 315,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,360.38 : 201,908.25 = 201,908.25 : x
  2. Step 2: Convert to fraction form
    129,360.38/201,908.25 = 201,908.25/x
  3. Step 3: Cross multiply
    129,360.38x = 201,908.25 × 201,908.25
  4. Step 4: Simplify right side
    129,360.38x = 40,766,941,418.06
  5. Step 5: Solve for x
    x = 40,766,941,418.06/129,360.38
  6. Step 6: Final answer
    x = 315,142.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.