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Finding the Third Proportional to 9,709.88 and 20,804.63

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Solution

The third proportional to 9,709.88 and 20,804.63 is: 44,576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.88 : 20,804.63 = 20,804.63 : x
  2. Step 2: Convert to fraction form
    9,709.88/20,804.63 = 20,804.63/x
  3. Step 3: Cross multiply
    9,709.88x = 20,804.63 × 20,804.63
  4. Step 4: Simplify right side
    9,709.88x = 432,832,421.39
  5. Step 5: Solve for x
    x = 432,832,421.39/9,709.88
  6. Step 6: Final answer
    x = 44,576.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.