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Finding the Third Proportional to 253,449 and 354,339

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Solution

The third proportional to 253,449 and 354,339 is: 495,390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,449 : 354,339 = 354,339 : x
  2. Step 2: Convert to fraction form
    253,449/354,339 = 354,339/x
  3. Step 3: Cross multiply
    253,449x = 354,339 × 354,339
  4. Step 4: Simplify right side
    253,449x = 125,556,126,921
  5. Step 5: Solve for x
    x = 125,556,126,921/253,449
  6. Step 6: Final answer
    x = 495,390.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.