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Finding the Third Proportional to 129,162.75 and 201,397.13

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Solution

The third proportional to 129,162.75 and 201,397.13 is: 314,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,162.75 : 201,397.13 = 201,397.13 : x
  2. Step 2: Convert to fraction form
    129,162.75/201,397.13 = 201,397.13/x
  3. Step 3: Cross multiply
    129,162.75x = 201,397.13 × 201,397.13
  4. Step 4: Simplify right side
    129,162.75x = 40,560,801,958.27
  5. Step 5: Solve for x
    x = 40,560,801,958.27/129,162.75
  6. Step 6: Final answer
    x = 314,028.63

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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.