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Finding the Third Proportional to 78,642 and 125,088

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Solution

The third proportional to 78,642 and 125,088 is: 198,965.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,642 : 125,088 = 125,088 : x
  2. Step 2: Convert to fraction form
    78,642/125,088 = 125,088/x
  3. Step 3: Cross multiply
    78,642x = 125,088 × 125,088
  4. Step 4: Simplify right side
    78,642x = 15,647,007,744
  5. Step 5: Solve for x
    x = 15,647,007,744/78,642
  6. Step 6: Final answer
    x = 198,965.03

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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.