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Finding the Third Proportional to 228,870 and 354,087

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Solution

The third proportional to 228,870 and 354,087 is: 547,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,870 : 354,087 = 354,087 : x
  2. Step 2: Convert to fraction form
    228,870/354,087 = 354,087/x
  3. Step 3: Cross multiply
    228,870x = 354,087 × 354,087
  4. Step 4: Simplify right side
    228,870x = 125,377,603,569
  5. Step 5: Solve for x
    x = 125,377,603,569/228,870
  6. Step 6: Final answer
    x = 547,811.44

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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.