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Finding the Third Proportional to 98,182.13 and 151,100.44

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Solution

The third proportional to 98,182.13 and 151,100.44 is: 232,540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,182.13 : 151,100.44 = 151,100.44 : x
  2. Step 2: Convert to fraction form
    98,182.13/151,100.44 = 151,100.44/x
  3. Step 3: Cross multiply
    98,182.13x = 151,100.44 × 151,100.44
  4. Step 4: Simplify right side
    98,182.13x = 22,831,342,212.69
  5. Step 5: Solve for x
    x = 22,831,342,212.69/98,182.13
  6. Step 6: Final answer
    x = 232,540.72

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Why These Related Problems?

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