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Finding the Third Proportional to 1,650.22 and 3,437.48

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Solution

The third proportional to 1,650.22 and 3,437.48 is: 7,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.22 : 3,437.48 = 3,437.48 : x
  2. Step 2: Convert to fraction form
    1,650.22/3,437.48 = 3,437.48/x
  3. Step 3: Cross multiply
    1,650.22x = 3,437.48 × 3,437.48
  4. Step 4: Simplify right side
    1,650.22x = 11,816,248.47
  5. Step 5: Solve for x
    x = 11,816,248.47/1,650.22
  6. Step 6: Final answer
    x = 7,160.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.