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Finding the Third Proportional to 187,997 and 391,487

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Solution

The third proportional to 187,997 and 391,487 is: 815,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,997 : 391,487 = 391,487 : x
  2. Step 2: Convert to fraction form
    187,997/391,487 = 391,487/x
  3. Step 3: Cross multiply
    187,997x = 391,487 × 391,487
  4. Step 4: Simplify right side
    187,997x = 153,262,071,169
  5. Step 5: Solve for x
    x = 153,262,071,169/187,997
  6. Step 6: Final answer
    x = 815,236.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.