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Finding the Third Proportional to 187,755 and 391,044

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Solution

The third proportional to 187,755 and 391,044 is: 814,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,755 : 391,044 = 391,044 : x
  2. Step 2: Convert to fraction form
    187,755/391,044 = 391,044/x
  3. Step 3: Cross multiply
    187,755x = 391,044 × 391,044
  4. Step 4: Simplify right side
    187,755x = 152,915,409,936
  5. Step 5: Solve for x
    x = 152,915,409,936/187,755
  6. Step 6: Final answer
    x = 814,441.21

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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.