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Finding the Third Proportional to 220,325 and 297,270

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Solution

The third proportional to 220,325 and 297,270 is: 401,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,325 : 297,270 = 297,270 : x
  2. Step 2: Convert to fraction form
    220,325/297,270 = 297,270/x
  3. Step 3: Cross multiply
    220,325x = 297,270 × 297,270
  4. Step 4: Simplify right side
    220,325x = 88,369,452,900
  5. Step 5: Solve for x
    x = 88,369,452,900/220,325
  6. Step 6: Final answer
    x = 401,086.82

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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.