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Finding the Third Proportional to 220,323 and 297,267

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Solution

The third proportional to 220,323 and 297,267 is: 401,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,323 : 297,267 = 297,267 : x
  2. Step 2: Convert to fraction form
    220,323/297,267 = 297,267/x
  3. Step 3: Cross multiply
    220,323x = 297,267 × 297,267
  4. Step 4: Simplify right side
    220,323x = 88,367,669,289
  5. Step 5: Solve for x
    x = 88,367,669,289/220,323
  6. Step 6: Final answer
    x = 401,082.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.