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Finding the Third Proportional to 5,289.88 and 7,771.13

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Solution

The third proportional to 5,289.88 and 7,771.13 is: 11,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.88 : 7,771.13 = 7,771.13 : x
  2. Step 2: Convert to fraction form
    5,289.88/7,771.13 = 7,771.13/x
  3. Step 3: Cross multiply
    5,289.88x = 7,771.13 × 7,771.13
  4. Step 4: Simplify right side
    5,289.88x = 60,390,383.77
  5. Step 5: Solve for x
    x = 60,390,383.77/5,289.88
  6. Step 6: Final answer
    x = 11,416.22

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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.