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Finding the Third Proportional to 126,720 and 294,656

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Solution

The third proportional to 126,720 and 294,656 is: 685,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,720 : 294,656 = 294,656 : x
  2. Step 2: Convert to fraction form
    126,720/294,656 = 294,656/x
  3. Step 3: Cross multiply
    126,720x = 294,656 × 294,656
  4. Step 4: Simplify right side
    126,720x = 86,822,158,336
  5. Step 5: Solve for x
    x = 86,822,158,336/126,720
  6. Step 6: Final answer
    x = 685,149.61

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.