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Finding the Third Proportional to 5,289.38 and 7,770.38

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Solution

The third proportional to 5,289.38 and 7,770.38 is: 11,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.38 : 7,770.38 = 7,770.38 : x
  2. Step 2: Convert to fraction form
    5,289.38/7,770.38 = 7,770.38/x
  3. Step 3: Cross multiply
    5,289.38x = 7,770.38 × 7,770.38
  4. Step 4: Simplify right side
    5,289.38x = 60,378,727.64
  5. Step 5: Solve for x
    x = 60,378,727.64/5,289.38
  6. Step 6: Final answer
    x = 11,415.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.