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Finding the Third Proportional to 9,989 and 21,721

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Solution

The third proportional to 9,989 and 21,721 is: 47,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989 : 21,721 = 21,721 : x
  2. Step 2: Convert to fraction form
    9,989/21,721 = 21,721/x
  3. Step 3: Cross multiply
    9,989x = 21,721 × 21,721
  4. Step 4: Simplify right side
    9,989x = 471,801,841
  5. Step 5: Solve for x
    x = 471,801,841/9,989
  6. Step 6: Final answer
    x = 47,232.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.