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Finding the Third Proportional to 78,884.50 and 122,217

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Solution

The third proportional to 78,884.50 and 122,217 is: 189,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,884.50 : 122,217 = 122,217 : x
  2. Step 2: Convert to fraction form
    78,884.50/122,217 = 122,217/x
  3. Step 3: Cross multiply
    78,884.50x = 122,217 × 122,217
  4. Step 4: Simplify right side
    78,884.50x = 14,936,995,089
  5. Step 5: Solve for x
    x = 14,936,995,089/78,884.50
  6. Step 6: Final answer
    x = 189,352.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.