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Finding the Third Proportional to 84,986 and 115,012

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Solution

The third proportional to 84,986 and 115,012 is: 155,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,986 : 115,012 = 115,012 : x
  2. Step 2: Convert to fraction form
    84,986/115,012 = 115,012/x
  3. Step 3: Cross multiply
    84,986x = 115,012 × 115,012
  4. Step 4: Simplify right side
    84,986x = 13,227,760,144
  5. Step 5: Solve for x
    x = 13,227,760,144/84,986
  6. Step 6: Final answer
    x = 155,646.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.