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Finding the Third Proportional to 9,690.19 and 19,791.56

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Solution

The third proportional to 9,690.19 and 19,791.56 is: 40,422.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.19 : 19,791.56 = 19,791.56 : x
  2. Step 2: Convert to fraction form
    9,690.19/19,791.56 = 19,791.56/x
  3. Step 3: Cross multiply
    9,690.19x = 19,791.56 × 19,791.56
  4. Step 4: Simplify right side
    9,690.19x = 391,705,946.19
  5. Step 5: Solve for x
    x = 391,705,946.19/9,690.19
  6. Step 6: Final answer
    x = 40,422.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.