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Finding the Third Proportional to 258,194 and 391,155

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Solution

The third proportional to 258,194 and 391,155 is: 592,586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,194 : 391,155 = 391,155 : x
  2. Step 2: Convert to fraction form
    258,194/391,155 = 391,155/x
  3. Step 3: Cross multiply
    258,194x = 391,155 × 391,155
  4. Step 4: Simplify right side
    258,194x = 153,002,234,025
  5. Step 5: Solve for x
    x = 153,002,234,025/258,194
  6. Step 6: Final answer
    x = 592,586.33

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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.