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Finding the Third Proportional to 272,864 and 420,952

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Solution

The third proportional to 272,864 and 420,952 is: 649,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,864 : 420,952 = 420,952 : x
  2. Step 2: Convert to fraction form
    272,864/420,952 = 420,952/x
  3. Step 3: Cross multiply
    272,864x = 420,952 × 420,952
  4. Step 4: Simplify right side
    272,864x = 177,200,586,304
  5. Step 5: Solve for x
    x = 177,200,586,304/272,864
  6. Step 6: Final answer
    x = 649,409.91

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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.