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Finding the Third Proportional to 78,543 and 125,388

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Solution

The third proportional to 78,543 and 125,388 is: 200,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,543 : 125,388 = 125,388 : x
  2. Step 2: Convert to fraction form
    78,543/125,388 = 125,388/x
  3. Step 3: Cross multiply
    78,543x = 125,388 × 125,388
  4. Step 4: Simplify right side
    78,543x = 15,722,150,544
  5. Step 5: Solve for x
    x = 15,722,150,544/78,543
  6. Step 6: Final answer
    x = 200,172.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.