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Finding the Third Proportional to 253,484 and 354,392

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Solution

The third proportional to 253,484 and 354,392 is: 495,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,484 : 354,392 = 354,392 : x
  2. Step 2: Convert to fraction form
    253,484/354,392 = 354,392/x
  3. Step 3: Cross multiply
    253,484x = 354,392 × 354,392
  4. Step 4: Simplify right side
    253,484x = 125,593,689,664
  5. Step 5: Solve for x
    x = 125,593,689,664/253,484
  6. Step 6: Final answer
    x = 495,469.89

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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.