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Finding the Third Proportional to 135,742.50 and 206,532

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Solution

The third proportional to 135,742.50 and 206,532 is: 314,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,742.50 : 206,532 = 206,532 : x
  2. Step 2: Convert to fraction form
    135,742.50/206,532 = 206,532/x
  3. Step 3: Cross multiply
    135,742.50x = 206,532 × 206,532
  4. Step 4: Simplify right side
    135,742.50x = 42,655,467,024
  5. Step 5: Solve for x
    x = 42,655,467,024/135,742.50
  6. Step 6: Final answer
    x = 314,238.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.