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Finding the Third Proportional to 253,450 and 354,341

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Solution

The third proportional to 253,450 and 354,341 is: 495,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,450 : 354,341 = 354,341 : x
  2. Step 2: Convert to fraction form
    253,450/354,341 = 354,341/x
  3. Step 3: Cross multiply
    253,450x = 354,341 × 354,341
  4. Step 4: Simplify right side
    253,450x = 125,557,544,281
  5. Step 5: Solve for x
    x = 125,557,544,281/253,450
  6. Step 6: Final answer
    x = 495,393.74

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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.