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Finding the Third Proportional to 5,566.50 and 10,377

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Solution

The third proportional to 5,566.50 and 10,377 is: 19,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.50 : 10,377 = 10,377 : x
  2. Step 2: Convert to fraction form
    5,566.50/10,377 = 10,377/x
  3. Step 3: Cross multiply
    5,566.50x = 10,377 × 10,377
  4. Step 4: Simplify right side
    5,566.50x = 107,682,129
  5. Step 5: Solve for x
    x = 107,682,129/5,566.50
  6. Step 6: Final answer
    x = 19,344.67

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.