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Finding the Third Proportional to 1,657.34 and 3,921.22

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Solution

The third proportional to 1,657.34 and 3,921.22 is: 9,277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.34 : 3,921.22 = 3,921.22 : x
  2. Step 2: Convert to fraction form
    1,657.34/3,921.22 = 3,921.22/x
  3. Step 3: Cross multiply
    1,657.34x = 3,921.22 × 3,921.22
  4. Step 4: Simplify right side
    1,657.34x = 15,375,987.12
  5. Step 5: Solve for x
    x = 15,375,987.12/1,657.34
  6. Step 6: Final answer
    x = 9,277.53

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.