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Finding the Third Proportional to 5,199.75 and 10,703.25

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Solution

The third proportional to 5,199.75 and 10,703.25 is: 22,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.75 : 10,703.25 = 10,703.25 : x
  2. Step 2: Convert to fraction form
    5,199.75/10,703.25 = 10,703.25/x
  3. Step 3: Cross multiply
    5,199.75x = 10,703.25 × 10,703.25
  4. Step 4: Simplify right side
    5,199.75x = 114,559,560.56
  5. Step 5: Solve for x
    x = 114,559,560.56/5,199.75
  6. Step 6: Final answer
    x = 22,031.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.