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Finding the Third Proportional to 21,984 and 51,864

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Solution

The third proportional to 21,984 and 51,864 is: 122,356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984 : 51,864 = 51,864 : x
  2. Step 2: Convert to fraction form
    21,984/51,864 = 51,864/x
  3. Step 3: Cross multiply
    21,984x = 51,864 × 51,864
  4. Step 4: Simplify right side
    21,984x = 2,689,874,496
  5. Step 5: Solve for x
    x = 2,689,874,496/21,984
  6. Step 6: Final answer
    x = 122,356.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.