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Finding the Third Proportional to 91,785.66 and 122,494.78

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Solution

The third proportional to 91,785.66 and 122,494.78 is: 163,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,785.66 : 122,494.78 = 122,494.78 : x
  2. Step 2: Convert to fraction form
    91,785.66/122,494.78 = 122,494.78/x
  3. Step 3: Cross multiply
    91,785.66x = 122,494.78 × 122,494.78
  4. Step 4: Simplify right side
    91,785.66x = 15,004,971,433.49
  5. Step 5: Solve for x
    x = 15,004,971,433.49/91,785.66
  6. Step 6: Final answer
    x = 163,478.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.