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Finding the Third Proportional to 21,330 and 45,899

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Solution

The third proportional to 21,330 and 45,899 is: 98,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,330 : 45,899 = 45,899 : x
  2. Step 2: Convert to fraction form
    21,330/45,899 = 45,899/x
  3. Step 3: Cross multiply
    21,330x = 45,899 × 45,899
  4. Step 4: Simplify right side
    21,330x = 2,106,718,201
  5. Step 5: Solve for x
    x = 2,106,718,201/21,330
  6. Step 6: Final answer
    x = 98,767.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.