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Finding the Third Proportional to 135,432 and 203,154.75

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Solution

The third proportional to 135,432 and 203,154.75 is: 304,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,432 : 203,154.75 = 203,154.75 : x
  2. Step 2: Convert to fraction form
    135,432/203,154.75 = 203,154.75/x
  3. Step 3: Cross multiply
    135,432x = 203,154.75 × 203,154.75
  4. Step 4: Simplify right side
    135,432x = 41,271,852,447.56
  5. Step 5: Solve for x
    x = 41,271,852,447.56/135,432
  6. Step 6: Final answer
    x = 304,742.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.