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Finding the Third Proportional to 84,988 and 115,015

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Solution

The third proportional to 84,988 and 115,015 is: 155,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,988 : 115,015 = 115,015 : x
  2. Step 2: Convert to fraction form
    84,988/115,015 = 115,015/x
  3. Step 3: Cross multiply
    84,988x = 115,015 × 115,015
  4. Step 4: Simplify right side
    84,988x = 13,228,450,225
  5. Step 5: Solve for x
    x = 13,228,450,225/84,988
  6. Step 6: Final answer
    x = 155,650.80

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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.