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Finding the Third Proportional to 81,382 and 195,989

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Solution

The third proportional to 81,382 and 195,989 is: 471,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,382 : 195,989 = 195,989 : x
  2. Step 2: Convert to fraction form
    81,382/195,989 = 195,989/x
  3. Step 3: Cross multiply
    81,382x = 195,989 × 195,989
  4. Step 4: Simplify right side
    81,382x = 38,411,688,121
  5. Step 5: Solve for x
    x = 38,411,688,121/81,382
  6. Step 6: Final answer
    x = 471,992.43

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.