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Finding the Third Proportional to 81,909 and 178,640

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Solution

The third proportional to 81,909 and 178,640 is: 389,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,909 : 178,640 = 178,640 : x
  2. Step 2: Convert to fraction form
    81,909/178,640 = 178,640/x
  3. Step 3: Cross multiply
    81,909x = 178,640 × 178,640
  4. Step 4: Simplify right side
    81,909x = 31,912,249,600
  5. Step 5: Solve for x
    x = 31,912,249,600/81,909
  6. Step 6: Final answer
    x = 389,606.14

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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.