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Finding the Third Proportional to 244,890 and 378,420

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Solution

The third proportional to 244,890 and 378,420 is: 584,759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,890 : 378,420 = 378,420 : x
  2. Step 2: Convert to fraction form
    244,890/378,420 = 378,420/x
  3. Step 3: Cross multiply
    244,890x = 378,420 × 378,420
  4. Step 4: Simplify right side
    244,890x = 143,201,696,400
  5. Step 5: Solve for x
    x = 143,201,696,400/244,890
  6. Step 6: Final answer
    x = 584,759.26

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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.