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Finding the Third Proportional to 82,455 and 180,691

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Solution

The third proportional to 82,455 and 180,691 is: 395,964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,455 : 180,691 = 180,691 : x
  2. Step 2: Convert to fraction form
    82,455/180,691 = 180,691/x
  3. Step 3: Cross multiply
    82,455x = 180,691 × 180,691
  4. Step 4: Simplify right side
    82,455x = 32,649,237,481
  5. Step 5: Solve for x
    x = 32,649,237,481/82,455
  6. Step 6: Final answer
    x = 395,964.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.