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Finding the Third Proportional to 30,872 and 66,544

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Solution

The third proportional to 30,872 and 66,544 is: 143,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872 : 66,544 = 66,544 : x
  2. Step 2: Convert to fraction form
    30,872/66,544 = 66,544/x
  3. Step 3: Cross multiply
    30,872x = 66,544 × 66,544
  4. Step 4: Simplify right side
    30,872x = 4,428,103,936
  5. Step 5: Solve for x
    x = 4,428,103,936/30,872
  6. Step 6: Final answer
    x = 143,434.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.