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Finding the Third Proportional to 126,706 and 272,914

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Solution

The third proportional to 126,706 and 272,914 is: 587,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,706 : 272,914 = 272,914 : x
  2. Step 2: Convert to fraction form
    126,706/272,914 = 272,914/x
  3. Step 3: Cross multiply
    126,706x = 272,914 × 272,914
  4. Step 4: Simplify right side
    126,706x = 74,482,051,396
  5. Step 5: Solve for x
    x = 74,482,051,396/126,706
  6. Step 6: Final answer
    x = 587,833.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.