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Finding the Third Proportional to 272,847 and 420,934.50

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Solution

The third proportional to 272,847 and 420,934.50 is: 649,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,847 : 420,934.50 = 420,934.50 : x
  2. Step 2: Convert to fraction form
    272,847/420,934.50 = 420,934.50/x
  3. Step 3: Cross multiply
    272,847x = 420,934.50 × 420,934.50
  4. Step 4: Simplify right side
    272,847x = 177,185,853,290.25
  5. Step 5: Solve for x
    x = 177,185,853,290.25/272,847
  6. Step 6: Final answer
    x = 649,396.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.