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Finding the Third Proportional to 228,170 and 354,701

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Solution

The third proportional to 228,170 and 354,701 is: 551,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,170 : 354,701 = 354,701 : x
  2. Step 2: Convert to fraction form
    228,170/354,701 = 354,701/x
  3. Step 3: Cross multiply
    228,170x = 354,701 × 354,701
  4. Step 4: Simplify right side
    228,170x = 125,812,799,401
  5. Step 5: Solve for x
    x = 125,812,799,401/228,170
  6. Step 6: Final answer
    x = 551,399.39

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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.