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Finding the Third Proportional to 91,785 and 129,255

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Solution

The third proportional to 91,785 and 129,255 is: 182,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,785 : 129,255 = 129,255 : x
  2. Step 2: Convert to fraction form
    91,785/129,255 = 129,255/x
  3. Step 3: Cross multiply
    91,785x = 129,255 × 129,255
  4. Step 4: Simplify right side
    91,785x = 16,706,855,025
  5. Step 5: Solve for x
    x = 16,706,855,025/91,785
  6. Step 6: Final answer
    x = 182,021.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.