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Finding the Third Proportional to 126,720 and 294,658

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Solution

The third proportional to 126,720 and 294,658 is: 685,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,720 : 294,658 = 294,658 : x
  2. Step 2: Convert to fraction form
    126,720/294,658 = 294,658/x
  3. Step 3: Cross multiply
    126,720x = 294,658 × 294,658
  4. Step 4: Simplify right side
    126,720x = 86,823,336,964
  5. Step 5: Solve for x
    x = 86,823,336,964/126,720
  6. Step 6: Final answer
    x = 685,158.91

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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.