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Finding the Third Proportional to 8,953.88 and 19,311.75

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Solution

The third proportional to 8,953.88 and 19,311.75 is: 41,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.88 : 19,311.75 = 19,311.75 : x
  2. Step 2: Convert to fraction form
    8,953.88/19,311.75 = 19,311.75/x
  3. Step 3: Cross multiply
    8,953.88x = 19,311.75 × 19,311.75
  4. Step 4: Simplify right side
    8,953.88x = 372,943,688.06
  5. Step 5: Solve for x
    x = 372,943,688.06/8,953.88
  6. Step 6: Final answer
    x = 41,651.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.