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Finding the Third Proportional to 253,478 and 354,381

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Solution

The third proportional to 253,478 and 354,381 is: 495,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,478 : 354,381 = 354,381 : x
  2. Step 2: Convert to fraction form
    253,478/354,381 = 354,381/x
  3. Step 3: Cross multiply
    253,478x = 354,381 × 354,381
  4. Step 4: Simplify right side
    253,478x = 125,585,893,161
  5. Step 5: Solve for x
    x = 125,585,893,161/253,478
  6. Step 6: Final answer
    x = 495,450.86

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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.