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Finding the Third Proportional to 9,721.90 and 20,921.73

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Solution

The third proportional to 9,721.90 and 20,921.73 is: 45,024.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.90 : 20,921.73 = 20,921.73 : x
  2. Step 2: Convert to fraction form
    9,721.90/20,921.73 = 20,921.73/x
  3. Step 3: Cross multiply
    9,721.90x = 20,921.73 × 20,921.73
  4. Step 4: Simplify right side
    9,721.90x = 437,718,805.81
  5. Step 5: Solve for x
    x = 437,718,805.81/9,721.90
  6. Step 6: Final answer
    x = 45,024.01

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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.