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Finding the Third Proportional to 126,117 and 263,915

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Solution

The third proportional to 126,117 and 263,915 is: 552,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,117 : 263,915 = 263,915 : x
  2. Step 2: Convert to fraction form
    126,117/263,915 = 263,915/x
  3. Step 3: Cross multiply
    126,117x = 263,915 × 263,915
  4. Step 4: Simplify right side
    126,117x = 69,651,127,225
  5. Step 5: Solve for x
    x = 69,651,127,225/126,117
  6. Step 6: Final answer
    x = 552,273.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.