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Finding the Third Proportional to 126,440 and 292,716

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Solution

The third proportional to 126,440 and 292,716 is: 677,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,440 : 292,716 = 292,716 : x
  2. Step 2: Convert to fraction form
    126,440/292,716 = 292,716/x
  3. Step 3: Cross multiply
    126,440x = 292,716 × 292,716
  4. Step 4: Simplify right side
    126,440x = 85,682,656,656
  5. Step 5: Solve for x
    x = 85,682,656,656/126,440
  6. Step 6: Final answer
    x = 677,654.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.