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Finding the Third Proportional to 78,644 and 125,091

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Solution

The third proportional to 78,644 and 125,091 is: 198,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,644 : 125,091 = 125,091 : x
  2. Step 2: Convert to fraction form
    78,644/125,091 = 125,091/x
  3. Step 3: Cross multiply
    78,644x = 125,091 × 125,091
  4. Step 4: Simplify right side
    78,644x = 15,647,758,281
  5. Step 5: Solve for x
    x = 15,647,758,281/78,644
  6. Step 6: Final answer
    x = 198,969.51

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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.