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Finding the Third Proportional to 253,474 and 354,373

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Solution

The third proportional to 253,474 and 354,373 is: 495,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,474 : 354,373 = 354,373 : x
  2. Step 2: Convert to fraction form
    253,474/354,373 = 354,373/x
  3. Step 3: Cross multiply
    253,474x = 354,373 × 354,373
  4. Step 4: Simplify right side
    253,474x = 125,580,223,129
  5. Step 5: Solve for x
    x = 125,580,223,129/253,474
  6. Step 6: Final answer
    x = 495,436.31

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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.