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Finding the Third Proportional to 86,835 and 131,174.25

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Solution

The third proportional to 86,835 and 131,174.25 is: 198,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,835 : 131,174.25 = 131,174.25 : x
  2. Step 2: Convert to fraction form
    86,835/131,174.25 = 131,174.25/x
  3. Step 3: Cross multiply
    86,835x = 131,174.25 × 131,174.25
  4. Step 4: Simplify right side
    86,835x = 17,206,683,863.06
  5. Step 5: Solve for x
    x = 17,206,683,863.06/86,835
  6. Step 6: Final answer
    x = 198,153.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.