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Finding the Third Proportional to 9,869 and 21,141

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Solution

The third proportional to 9,869 and 21,141 is: 45,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869 : 21,141 = 21,141 : x
  2. Step 2: Convert to fraction form
    9,869/21,141 = 21,141/x
  3. Step 3: Cross multiply
    9,869x = 21,141 × 21,141
  4. Step 4: Simplify right side
    9,869x = 446,941,881
  5. Step 5: Solve for x
    x = 446,941,881/9,869
  6. Step 6: Final answer
    x = 45,287.45

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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.