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Finding the Third Proportional to 7,872 and 17,129

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Solution

The third proportional to 7,872 and 17,129 is: 37,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 17,129 = 17,129 : x
  2. Step 2: Convert to fraction form
    7,872/17,129 = 17,129/x
  3. Step 3: Cross multiply
    7,872x = 17,129 × 17,129
  4. Step 4: Simplify right side
    7,872x = 293,402,641
  5. Step 5: Solve for x
    x = 293,402,641/7,872
  6. Step 6: Final answer
    x = 37,271.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.