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Finding the Third Proportional to 253,486 and 354,395

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Solution

The third proportional to 253,486 and 354,395 is: 495,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,486 : 354,395 = 354,395 : x
  2. Step 2: Convert to fraction form
    253,486/354,395 = 354,395/x
  3. Step 3: Cross multiply
    253,486x = 354,395 × 354,395
  4. Step 4: Simplify right side
    253,486x = 125,595,816,025
  5. Step 5: Solve for x
    x = 125,595,816,025/253,486
  6. Step 6: Final answer
    x = 495,474.37

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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.