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Finding the Third Proportional to 207,976 and 322,620

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Solution

The third proportional to 207,976 and 322,620 is: 500,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,976 : 322,620 = 322,620 : x
  2. Step 2: Convert to fraction form
    207,976/322,620 = 322,620/x
  3. Step 3: Cross multiply
    207,976x = 322,620 × 322,620
  4. Step 4: Simplify right side
    207,976x = 104,083,664,400
  5. Step 5: Solve for x
    x = 104,083,664,400/207,976
  6. Step 6: Final answer
    x = 500,459.98

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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.