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Finding the Third Proportional to 9,147.94 and 19,698.19

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Solution

The third proportional to 9,147.94 and 19,698.19 is: 42,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.94 : 19,698.19 = 19,698.19 : x
  2. Step 2: Convert to fraction form
    9,147.94/19,698.19 = 19,698.19/x
  3. Step 3: Cross multiply
    9,147.94x = 19,698.19 × 19,698.19
  4. Step 4: Simplify right side
    9,147.94x = 388,018,590.79
  5. Step 5: Solve for x
    x = 388,018,590.79/9,147.94
  6. Step 6: Final answer
    x = 42,415.96

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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.