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Finding the Third Proportional to 392,868 and 609,414

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Solution

The third proportional to 392,868 and 609,414 is: 945,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,868 : 609,414 = 609,414 : x
  2. Step 2: Convert to fraction form
    392,868/609,414 = 609,414/x
  3. Step 3: Cross multiply
    392,868x = 609,414 × 609,414
  4. Step 4: Simplify right side
    392,868x = 371,385,423,396
  5. Step 5: Solve for x
    x = 371,385,423,396/392,868
  6. Step 6: Final answer
    x = 945,318.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.