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Finding the Third Proportional to 9,684.88 and 20,534.45

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Solution

The third proportional to 9,684.88 and 20,534.45 is: 43,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.88 : 20,534.45 = 20,534.45 : x
  2. Step 2: Convert to fraction form
    9,684.88/20,534.45 = 20,534.45/x
  3. Step 3: Cross multiply
    9,684.88x = 20,534.45 × 20,534.45
  4. Step 4: Simplify right side
    9,684.88x = 421,663,604.72
  5. Step 5: Solve for x
    x = 421,663,604.72/9,684.88
  6. Step 6: Final answer
    x = 43,538.35

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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.