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Finding the Third Proportional to 126,634.50 and 195,434.38

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Solution

The third proportional to 126,634.50 and 195,434.38 is: 301,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,634.50 : 195,434.38 = 195,434.38 : x
  2. Step 2: Convert to fraction form
    126,634.50/195,434.38 = 195,434.38/x
  3. Step 3: Cross multiply
    126,634.50x = 195,434.38 × 195,434.38
  4. Step 4: Simplify right side
    126,634.50x = 38,194,594,931.64
  5. Step 5: Solve for x
    x = 38,194,594,931.64/126,634.50
  6. Step 6: Final answer
    x = 301,612.87

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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.