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Finding the Third Proportional to 73,800 and 161,454

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Solution

The third proportional to 73,800 and 161,454 is: 353,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,800 : 161,454 = 161,454 : x
  2. Step 2: Convert to fraction form
    73,800/161,454 = 161,454/x
  3. Step 3: Cross multiply
    73,800x = 161,454 × 161,454
  4. Step 4: Simplify right side
    73,800x = 26,067,394,116
  5. Step 5: Solve for x
    x = 26,067,394,116/73,800
  6. Step 6: Final answer
    x = 353,216.72

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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.