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Finding the Third Proportional to 126,654 and 197,649

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Solution

The third proportional to 126,654 and 197,649 is: 308,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,654 : 197,649 = 197,649 : x
  2. Step 2: Convert to fraction form
    126,654/197,649 = 197,649/x
  3. Step 3: Cross multiply
    126,654x = 197,649 × 197,649
  4. Step 4: Simplify right side
    126,654x = 39,065,127,201
  5. Step 5: Solve for x
    x = 39,065,127,201/126,654
  6. Step 6: Final answer
    x = 308,439.74

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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.