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Finding the Third Proportional to 78,685.50 and 124,785

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Solution

The third proportional to 78,685.50 and 124,785 is: 197,892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,685.50 : 124,785 = 124,785 : x
  2. Step 2: Convert to fraction form
    78,685.50/124,785 = 124,785/x
  3. Step 3: Cross multiply
    78,685.50x = 124,785 × 124,785
  4. Step 4: Simplify right side
    78,685.50x = 15,571,296,225
  5. Step 5: Solve for x
    x = 15,571,296,225/78,685.50
  6. Step 6: Final answer
    x = 197,892.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.