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Finding the Third Proportional to 7,641 and 10,221

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Solution

The third proportional to 7,641 and 10,221 is: 13,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641 : 10,221 = 10,221 : x
  2. Step 2: Convert to fraction form
    7,641/10,221 = 10,221/x
  3. Step 3: Cross multiply
    7,641x = 10,221 × 10,221
  4. Step 4: Simplify right side
    7,641x = 104,468,841
  5. Step 5: Solve for x
    x = 104,468,841/7,641
  6. Step 6: Final answer
    x = 13,672.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.