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Finding the Third Proportional to 135,756 and 197,478

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Solution

The third proportional to 135,756 and 197,478 is: 287,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,756 : 197,478 = 197,478 : x
  2. Step 2: Convert to fraction form
    135,756/197,478 = 197,478/x
  3. Step 3: Cross multiply
    135,756x = 197,478 × 197,478
  4. Step 4: Simplify right side
    135,756x = 38,997,560,484
  5. Step 5: Solve for x
    x = 38,997,560,484/135,756
  6. Step 6: Final answer
    x = 287,262.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.