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Finding the Third Proportional to 228,286 and 354,861

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Solution

The third proportional to 228,286 and 354,861 is: 551,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,286 : 354,861 = 354,861 : x
  2. Step 2: Convert to fraction form
    228,286/354,861 = 354,861/x
  3. Step 3: Cross multiply
    228,286x = 354,861 × 354,861
  4. Step 4: Simplify right side
    228,286x = 125,926,329,321
  5. Step 5: Solve for x
    x = 125,926,329,321/228,286
  6. Step 6: Final answer
    x = 551,616.52

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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.