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Finding the Third Proportional to 9,643.88 and 20,472.75

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Solution

The third proportional to 9,643.88 and 20,472.75 is: 43,461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.88 : 20,472.75 = 20,472.75 : x
  2. Step 2: Convert to fraction form
    9,643.88/20,472.75 = 20,472.75/x
  3. Step 3: Cross multiply
    9,643.88x = 20,472.75 × 20,472.75
  4. Step 4: Simplify right side
    9,643.88x = 419,133,492.56
  5. Step 5: Solve for x
    x = 419,133,492.56/9,643.88
  6. Step 6: Final answer
    x = 43,461.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.