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Finding the Third Proportional to 81,988 and 107,652

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Solution

The third proportional to 81,988 and 107,652 is: 141,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,988 : 107,652 = 107,652 : x
  2. Step 2: Convert to fraction form
    81,988/107,652 = 107,652/x
  3. Step 3: Cross multiply
    81,988x = 107,652 × 107,652
  4. Step 4: Simplify right side
    81,988x = 11,588,953,104
  5. Step 5: Solve for x
    x = 11,588,953,104/81,988
  6. Step 6: Final answer
    x = 141,349.38

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.