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Finding the Third Proportional to 386,564 and 585,193

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Solution

The third proportional to 386,564 and 585,193 is: 885,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,564 : 585,193 = 585,193 : x
  2. Step 2: Convert to fraction form
    386,564/585,193 = 585,193/x
  3. Step 3: Cross multiply
    386,564x = 585,193 × 585,193
  4. Step 4: Simplify right side
    386,564x = 342,450,847,249
  5. Step 5: Solve for x
    x = 342,450,847,249/386,564
  6. Step 6: Final answer
    x = 885,883.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.