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Finding the Third Proportional to 9,291 and 19,842

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Solution

The third proportional to 9,291 and 19,842 is: 42,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291 : 19,842 = 19,842 : x
  2. Step 2: Convert to fraction form
    9,291/19,842 = 19,842/x
  3. Step 3: Cross multiply
    9,291x = 19,842 × 19,842
  4. Step 4: Simplify right side
    9,291x = 393,704,964
  5. Step 5: Solve for x
    x = 393,704,964/9,291
  6. Step 6: Final answer
    x = 42,374.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.