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Finding the Third Proportional to 9,811.13 and 21,087.84

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Solution

The third proportional to 9,811.13 and 21,087.84 is: 45,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.13 : 21,087.84 = 21,087.84 : x
  2. Step 2: Convert to fraction form
    9,811.13/21,087.84 = 21,087.84/x
  3. Step 3: Cross multiply
    9,811.13x = 21,087.84 × 21,087.84
  4. Step 4: Simplify right side
    9,811.13x = 444,697,154.02
  5. Step 5: Solve for x
    x = 444,697,154.02/9,811.13
  6. Step 6: Final answer
    x = 45,325.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.