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Finding the Third Proportional to 228,420 and 363,750

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Solution

The third proportional to 228,420 and 363,750 is: 579,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,420 : 363,750 = 363,750 : x
  2. Step 2: Convert to fraction form
    228,420/363,750 = 363,750/x
  3. Step 3: Cross multiply
    228,420x = 363,750 × 363,750
  4. Step 4: Simplify right side
    228,420x = 132,314,062,500
  5. Step 5: Solve for x
    x = 132,314,062,500/228,420
  6. Step 6: Final answer
    x = 579,257.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.