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Finding the Third Proportional to 207,920 and 321,815

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Solution

The third proportional to 207,920 and 321,815 is: 498,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,920 : 321,815 = 321,815 : x
  2. Step 2: Convert to fraction form
    207,920/321,815 = 321,815/x
  3. Step 3: Cross multiply
    207,920x = 321,815 × 321,815
  4. Step 4: Simplify right side
    207,920x = 103,564,894,225
  5. Step 5: Solve for x
    x = 103,564,894,225/207,920
  6. Step 6: Final answer
    x = 498,099.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.