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Finding the Third Proportional to 86,100 and 132,984

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Solution

The third proportional to 86,100 and 132,984 is: 205,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,100 : 132,984 = 132,984 : x
  2. Step 2: Convert to fraction form
    86,100/132,984 = 132,984/x
  3. Step 3: Cross multiply
    86,100x = 132,984 × 132,984
  4. Step 4: Simplify right side
    86,100x = 17,684,744,256
  5. Step 5: Solve for x
    x = 17,684,744,256/86,100
  6. Step 6: Final answer
    x = 205,397.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.