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Finding the Third Proportional to 30,872 and 45,214

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Solution

The third proportional to 30,872 and 45,214 is: 66,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872 : 45,214 = 45,214 : x
  2. Step 2: Convert to fraction form
    30,872/45,214 = 45,214/x
  3. Step 3: Cross multiply
    30,872x = 45,214 × 45,214
  4. Step 4: Simplify right side
    30,872x = 2,044,305,796
  5. Step 5: Solve for x
    x = 2,044,305,796/30,872
  6. Step 6: Final answer
    x = 66,218.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.