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Finding the Third Proportional to 7,720.31 and 10,484.44

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Solution

The third proportional to 7,720.31 and 10,484.44 is: 14,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.31 : 10,484.44 = 10,484.44 : x
  2. Step 2: Convert to fraction form
    7,720.31/10,484.44 = 10,484.44/x
  3. Step 3: Cross multiply
    7,720.31x = 10,484.44 × 10,484.44
  4. Step 4: Simplify right side
    7,720.31x = 109,923,429.69
  5. Step 5: Solve for x
    x = 109,923,429.69/7,720.31
  6. Step 6: Final answer
    x = 14,238.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.