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Finding the Third Proportional to 180,971.25 and 385,989

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Solution

The third proportional to 180,971.25 and 385,989 is: 823,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,971.25 : 385,989 = 385,989 : x
  2. Step 2: Convert to fraction form
    180,971.25/385,989 = 385,989/x
  3. Step 3: Cross multiply
    180,971.25x = 385,989 × 385,989
  4. Step 4: Simplify right side
    180,971.25x = 148,987,508,121
  5. Step 5: Solve for x
    x = 148,987,508,121/180,971.25
  6. Step 6: Final answer
    x = 823,266.17

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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.