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Finding the Third Proportional to 272,856 and 420,948

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Solution

The third proportional to 272,856 and 420,948 is: 649,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,856 : 420,948 = 420,948 : x
  2. Step 2: Convert to fraction form
    272,856/420,948 = 420,948/x
  3. Step 3: Cross multiply
    272,856x = 420,948 × 420,948
  4. Step 4: Simplify right side
    272,856x = 177,197,218,704
  5. Step 5: Solve for x
    x = 177,197,218,704/272,856
  6. Step 6: Final answer
    x = 649,416.61

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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.