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Finding the Third Proportional to 81,758 and 180,985

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Solution

The third proportional to 81,758 and 180,985 is: 400,640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,758 : 180,985 = 180,985 : x
  2. Step 2: Convert to fraction form
    81,758/180,985 = 180,985/x
  3. Step 3: Cross multiply
    81,758x = 180,985 × 180,985
  4. Step 4: Simplify right side
    81,758x = 32,755,570,225
  5. Step 5: Solve for x
    x = 32,755,570,225/81,758
  6. Step 6: Final answer
    x = 400,640.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.