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Finding the Third Proportional to 253,476 and 354,380

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Solution

The third proportional to 253,476 and 354,380 is: 495,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,476 : 354,380 = 354,380 : x
  2. Step 2: Convert to fraction form
    253,476/354,380 = 354,380/x
  3. Step 3: Cross multiply
    253,476x = 354,380 × 354,380
  4. Step 4: Simplify right side
    253,476x = 125,585,184,400
  5. Step 5: Solve for x
    x = 125,585,184,400/253,476
  6. Step 6: Final answer
    x = 495,451.97

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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.