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Finding the Third Proportional to 7,978 and 18,541

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Solution

The third proportional to 7,978 and 18,541 is: 43,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978 : 18,541 = 18,541 : x
  2. Step 2: Convert to fraction form
    7,978/18,541 = 18,541/x
  3. Step 3: Cross multiply
    7,978x = 18,541 × 18,541
  4. Step 4: Simplify right side
    7,978x = 343,768,681
  5. Step 5: Solve for x
    x = 343,768,681/7,978
  6. Step 6: Final answer
    x = 43,089.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.