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Finding the Third Proportional to 258,518 and 386,233

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Solution

The third proportional to 258,518 and 386,233 is: 577,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,518 : 386,233 = 386,233 : x
  2. Step 2: Convert to fraction form
    258,518/386,233 = 386,233/x
  3. Step 3: Cross multiply
    258,518x = 386,233 × 386,233
  4. Step 4: Simplify right side
    258,518x = 149,175,930,289
  5. Step 5: Solve for x
    x = 149,175,930,289/258,518
  6. Step 6: Final answer
    x = 577,042.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.