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Finding the Third Proportional to 78,608.25 and 111,123.56

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Solution

The third proportional to 78,608.25 and 111,123.56 is: 157,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,608.25 : 111,123.56 = 111,123.56 : x
  2. Step 2: Convert to fraction form
    78,608.25/111,123.56 = 111,123.56/x
  3. Step 3: Cross multiply
    78,608.25x = 111,123.56 × 111,123.56
  4. Step 4: Simplify right side
    78,608.25x = 12,348,446,142.69
  5. Step 5: Solve for x
    x = 12,348,446,142.69/78,608.25
  6. Step 6: Final answer
    x = 157,088.42

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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.