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Finding the Third Proportional to 220,330 and 297,278

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Solution

The third proportional to 220,330 and 297,278 is: 401,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,330 : 297,278 = 297,278 : x
  2. Step 2: Convert to fraction form
    220,330/297,278 = 297,278/x
  3. Step 3: Cross multiply
    220,330x = 297,278 × 297,278
  4. Step 4: Simplify right side
    220,330x = 88,374,209,284
  5. Step 5: Solve for x
    x = 88,374,209,284/220,330
  6. Step 6: Final answer
    x = 401,099.30

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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.