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Finding the Third Proportional to 78,986 and 125,051

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Solution

The third proportional to 78,986 and 125,051 is: 197,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,986 : 125,051 = 125,051 : x
  2. Step 2: Convert to fraction form
    78,986/125,051 = 125,051/x
  3. Step 3: Cross multiply
    78,986x = 125,051 × 125,051
  4. Step 4: Simplify right side
    78,986x = 15,637,752,601
  5. Step 5: Solve for x
    x = 15,637,752,601/78,986
  6. Step 6: Final answer
    x = 197,981.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.