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Finding the Third Proportional to 100,122.75 and 135,148.50

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Solution

The third proportional to 100,122.75 and 135,148.50 is: 182,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,122.75 : 135,148.50 = 135,148.50 : x
  2. Step 2: Convert to fraction form
    100,122.75/135,148.50 = 135,148.50/x
  3. Step 3: Cross multiply
    100,122.75x = 135,148.50 × 135,148.50
  4. Step 4: Simplify right side
    100,122.75x = 18,265,117,052.25
  5. Step 5: Solve for x
    x = 18,265,117,052.25/100,122.75
  6. Step 6: Final answer
    x = 182,427.24

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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.