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Finding the Third Proportional to 108,396 and 154,062.75

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Solution

The third proportional to 108,396 and 154,062.75 is: 218,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,396 : 154,062.75 = 154,062.75 : x
  2. Step 2: Convert to fraction form
    108,396/154,062.75 = 154,062.75/x
  3. Step 3: Cross multiply
    108,396x = 154,062.75 × 154,062.75
  4. Step 4: Simplify right side
    108,396x = 23,735,330,937.56
  5. Step 5: Solve for x
    x = 23,735,330,937.56/108,396
  6. Step 6: Final answer
    x = 218,968.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.