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Finding the Third Proportional to 215,500 and 457,269

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Solution

The third proportional to 215,500 and 457,269 is: 970,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,500 : 457,269 = 457,269 : x
  2. Step 2: Convert to fraction form
    215,500/457,269 = 457,269/x
  3. Step 3: Cross multiply
    215,500x = 457,269 × 457,269
  4. Step 4: Simplify right side
    215,500x = 209,094,938,361
  5. Step 5: Solve for x
    x = 209,094,938,361/215,500
  6. Step 6: Final answer
    x = 970,278.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.