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Finding the Third Proportional to 180,102 and 391,916

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Solution

The third proportional to 180,102 and 391,916 is: 852,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,102 : 391,916 = 391,916 : x
  2. Step 2: Convert to fraction form
    180,102/391,916 = 391,916/x
  3. Step 3: Cross multiply
    180,102x = 391,916 × 391,916
  4. Step 4: Simplify right side
    180,102x = 153,598,151,056
  5. Step 5: Solve for x
    x = 153,598,151,056/180,102
  6. Step 6: Final answer
    x = 852,839.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.