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Finding the Third Proportional to 5,087.88 and 10,847.80

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Solution

The third proportional to 5,087.88 and 10,847.80 is: 23,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.88 : 10,847.80 = 10,847.80 : x
  2. Step 2: Convert to fraction form
    5,087.88/10,847.80 = 10,847.80/x
  3. Step 3: Cross multiply
    5,087.88x = 10,847.80 × 10,847.80
  4. Step 4: Simplify right side
    5,087.88x = 117,674,697.04
  5. Step 5: Solve for x
    x = 117,674,697.04/5,087.88
  6. Step 6: Final answer
    x = 23,128.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.