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Finding the Third Proportional to 5,289 and 7,201.50

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Solution

The third proportional to 5,289 and 7,201.50 is: 9,805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289 : 7,201.50 = 7,201.50 : x
  2. Step 2: Convert to fraction form
    5,289/7,201.50 = 7,201.50/x
  3. Step 3: Cross multiply
    5,289x = 7,201.50 × 7,201.50
  4. Step 4: Simplify right side
    5,289x = 51,861,602.25
  5. Step 5: Solve for x
    x = 51,861,602.25/5,289
  6. Step 6: Final answer
    x = 9,805.56

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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.