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Finding the Third Proportional to 78,539.78 and 111,043.64

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Solution

The third proportional to 78,539.78 and 111,043.64 is: 156,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,539.78 : 111,043.64 = 111,043.64 : x
  2. Step 2: Convert to fraction form
    78,539.78/111,043.64 = 111,043.64/x
  3. Step 3: Cross multiply
    78,539.78x = 111,043.64 × 111,043.64
  4. Step 4: Simplify right side
    78,539.78x = 12,330,690,773.90
  5. Step 5: Solve for x
    x = 12,330,690,773.90/78,539.78
  6. Step 6: Final answer
    x = 156,999.30

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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.