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Finding the Third Proportional to 85,719 and 131,493

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Solution

The third proportional to 85,719 and 131,493 is: 201,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,719 : 131,493 = 131,493 : x
  2. Step 2: Convert to fraction form
    85,719/131,493 = 131,493/x
  3. Step 3: Cross multiply
    85,719x = 131,493 × 131,493
  4. Step 4: Simplify right side
    85,719x = 17,290,409,049
  5. Step 5: Solve for x
    x = 17,290,409,049/85,719
  6. Step 6: Final answer
    x = 201,710.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.