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Finding the Third Proportional to 253,476 and 354,378

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Solution

The third proportional to 253,476 and 354,378 is: 495,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,476 : 354,378 = 354,378 : x
  2. Step 2: Convert to fraction form
    253,476/354,378 = 354,378/x
  3. Step 3: Cross multiply
    253,476x = 354,378 × 354,378
  4. Step 4: Simplify right side
    253,476x = 125,583,766,884
  5. Step 5: Solve for x
    x = 125,583,766,884/253,476
  6. Step 6: Final answer
    x = 495,446.38

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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.