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Finding the Third Proportional to 78,867.42 and 122,352.12

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Solution

The third proportional to 78,867.42 and 122,352.12 is: 189,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,867.42 : 122,352.12 = 122,352.12 : x
  2. Step 2: Convert to fraction form
    78,867.42/122,352.12 = 122,352.12/x
  3. Step 3: Cross multiply
    78,867.42x = 122,352.12 × 122,352.12
  4. Step 4: Simplify right side
    78,867.42x = 14,970,040,580.26
  5. Step 5: Solve for x
    x = 14,970,040,580.26/78,867.42
  6. Step 6: Final answer
    x = 189,812.73

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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.