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Finding the Third Proportional to 733.08 and 1,496.11

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Solution

The third proportional to 733.08 and 1,496.11 is: 3,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.08 : 1,496.11 = 1,496.11 : x
  2. Step 2: Convert to fraction form
    733.08/1,496.11 = 1,496.11/x
  3. Step 3: Cross multiply
    733.08x = 1,496.11 × 1,496.11
  4. Step 4: Simplify right side
    733.08x = 2,238,343.26
  5. Step 5: Solve for x
    x = 2,238,343.26/733.08
  6. Step 6: Final answer
    x = 3,053.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.