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Finding the Third Proportional to 78,008 and 123,996

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Solution

The third proportional to 78,008 and 123,996 is: 197,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,008 : 123,996 = 123,996 : x
  2. Step 2: Convert to fraction form
    78,008/123,996 = 123,996/x
  3. Step 3: Cross multiply
    78,008x = 123,996 × 123,996
  4. Step 4: Simplify right side
    78,008x = 15,375,008,016
  5. Step 5: Solve for x
    x = 15,375,008,016/78,008
  6. Step 6: Final answer
    x = 197,095.27

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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.