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Finding the Third Proportional to 321,898 and 479,040

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Solution

The third proportional to 321,898 and 479,040 is: 712,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,898 : 479,040 = 479,040 : x
  2. Step 2: Convert to fraction form
    321,898/479,040 = 479,040/x
  3. Step 3: Cross multiply
    321,898x = 479,040 × 479,040
  4. Step 4: Simplify right side
    321,898x = 229,479,321,600
  5. Step 5: Solve for x
    x = 229,479,321,600/321,898
  6. Step 6: Final answer
    x = 712,894.52

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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.