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Finding the Third Proportional to 180,976 and 385,987

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Solution

The third proportional to 180,976 and 385,987 is: 823,236.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,976 : 385,987 = 385,987 : x
  2. Step 2: Convert to fraction form
    180,976/385,987 = 385,987/x
  3. Step 3: Cross multiply
    180,976x = 385,987 × 385,987
  4. Step 4: Simplify right side
    180,976x = 148,985,964,169
  5. Step 5: Solve for x
    x = 148,985,964,169/180,976
  6. Step 6: Final answer
    x = 823,236.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.