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Finding the Third Proportional to 78,640 and 125,084

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Solution

The third proportional to 78,640 and 125,084 is: 198,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,640 : 125,084 = 125,084 : x
  2. Step 2: Convert to fraction form
    78,640/125,084 = 125,084/x
  3. Step 3: Cross multiply
    78,640x = 125,084 × 125,084
  4. Step 4: Simplify right side
    78,640x = 15,646,007,056
  5. Step 5: Solve for x
    x = 15,646,007,056/78,640
  6. Step 6: Final answer
    x = 198,957.36

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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.