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Finding the Third Proportional to 131,712.75 and 279,099

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Solution

The third proportional to 131,712.75 and 279,099 is: 591,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,712.75 : 279,099 = 279,099 : x
  2. Step 2: Convert to fraction form
    131,712.75/279,099 = 279,099/x
  3. Step 3: Cross multiply
    131,712.75x = 279,099 × 279,099
  4. Step 4: Simplify right side
    131,712.75x = 77,896,251,801
  5. Step 5: Solve for x
    x = 77,896,251,801/131,712.75
  6. Step 6: Final answer
    x = 591,410.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.