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Finding the Third Proportional to 135,672 and 207,540

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Solution

The third proportional to 135,672 and 207,540 is: 317,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,672 : 207,540 = 207,540 : x
  2. Step 2: Convert to fraction form
    135,672/207,540 = 207,540/x
  3. Step 3: Cross multiply
    135,672x = 207,540 × 207,540
  4. Step 4: Simplify right side
    135,672x = 43,072,851,600
  5. Step 5: Solve for x
    x = 43,072,851,600/135,672
  6. Step 6: Final answer
    x = 317,477.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.