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Finding the Third Proportional to 30,768 and 66,873

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Solution

The third proportional to 30,768 and 66,873 is: 145,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768 : 66,873 = 66,873 : x
  2. Step 2: Convert to fraction form
    30,768/66,873 = 66,873/x
  3. Step 3: Cross multiply
    30,768x = 66,873 × 66,873
  4. Step 4: Simplify right side
    30,768x = 4,471,998,129
  5. Step 5: Solve for x
    x = 4,471,998,129/30,768
  6. Step 6: Final answer
    x = 145,345.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.