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Finding the Third Proportional to 548,329 and 817,927

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Solution

The third proportional to 548,329 and 817,927 is: 1,220,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,329 : 817,927 = 817,927 : x
  2. Step 2: Convert to fraction form
    548,329/817,927 = 817,927/x
  3. Step 3: Cross multiply
    548,329x = 817,927 × 817,927
  4. Step 4: Simplify right side
    548,329x = 669,004,577,329
  5. Step 5: Solve for x
    x = 669,004,577,329/548,329
  6. Step 6: Final answer
    x = 1,220,078.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.