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Finding the Third Proportional to 9,296.28 and 19,087.58

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Solution

The third proportional to 9,296.28 and 19,087.58 is: 39,191.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.28 : 19,087.58 = 19,087.58 : x
  2. Step 2: Convert to fraction form
    9,296.28/19,087.58 = 19,087.58/x
  3. Step 3: Cross multiply
    9,296.28x = 19,087.58 × 19,087.58
  4. Step 4: Simplify right side
    9,296.28x = 364,335,564.12
  5. Step 5: Solve for x
    x = 364,335,564.12/9,296.28
  6. Step 6: Final answer
    x = 39,191.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.