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Finding the Third Proportional to 3,580.88 and 7,975.13

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Solution

The third proportional to 3,580.88 and 7,975.13 is: 17,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.88 : 7,975.13 = 7,975.13 : x
  2. Step 2: Convert to fraction form
    3,580.88/7,975.13 = 7,975.13/x
  3. Step 3: Cross multiply
    3,580.88x = 7,975.13 × 7,975.13
  4. Step 4: Simplify right side
    3,580.88x = 63,602,618.77
  5. Step 5: Solve for x
    x = 63,602,618.77/3,580.88
  6. Step 6: Final answer
    x = 17,761.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.