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Finding the Third Proportional to 126,789 and 197,453

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Solution

The third proportional to 126,789 and 197,453 is: 307,500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,789 : 197,453 = 197,453 : x
  2. Step 2: Convert to fraction form
    126,789/197,453 = 197,453/x
  3. Step 3: Cross multiply
    126,789x = 197,453 × 197,453
  4. Step 4: Simplify right side
    126,789x = 38,987,687,209
  5. Step 5: Solve for x
    x = 38,987,687,209/126,789
  6. Step 6: Final answer
    x = 307,500.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.