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Finding the Third Proportional to 3,698.63 and 7,990.13

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Solution

The third proportional to 3,698.63 and 7,990.13 is: 17,261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.63 : 7,990.13 = 7,990.13 : x
  2. Step 2: Convert to fraction form
    3,698.63/7,990.13 = 7,990.13/x
  3. Step 3: Cross multiply
    3,698.63x = 7,990.13 × 7,990.13
  4. Step 4: Simplify right side
    3,698.63x = 63,842,097.52
  5. Step 5: Solve for x
    x = 63,842,097.52/3,698.63
  6. Step 6: Final answer
    x = 17,261.04

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Why These Related Problems?

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