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Finding the Third Proportional to 9,869 and 21,319

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Solution

The third proportional to 9,869 and 21,319 is: 46,053.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869 : 21,319 = 21,319 : x
  2. Step 2: Convert to fraction form
    9,869/21,319 = 21,319/x
  3. Step 3: Cross multiply
    9,869x = 21,319 × 21,319
  4. Step 4: Simplify right side
    9,869x = 454,499,761
  5. Step 5: Solve for x
    x = 454,499,761/9,869
  6. Step 6: Final answer
    x = 46,053.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.