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Finding the Third Proportional to 126,451 and 272,506

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Solution

The third proportional to 126,451 and 272,506 is: 587,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,451 : 272,506 = 272,506 : x
  2. Step 2: Convert to fraction form
    126,451/272,506 = 272,506/x
  3. Step 3: Cross multiply
    126,451x = 272,506 × 272,506
  4. Step 4: Simplify right side
    126,451x = 74,259,520,036
  5. Step 5: Solve for x
    x = 74,259,520,036/126,451
  6. Step 6: Final answer
    x = 587,259.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.