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Finding the Third Proportional to 1,204.03 and 1,950.33

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Solution

The third proportional to 1,204.03 and 1,950.33 is: 3,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.03 : 1,950.33 = 1,950.33 : x
  2. Step 2: Convert to fraction form
    1,204.03/1,950.33 = 1,950.33/x
  3. Step 3: Cross multiply
    1,204.03x = 1,950.33 × 1,950.33
  4. Step 4: Simplify right side
    1,204.03x = 3,803,779.80
  5. Step 5: Solve for x
    x = 3,803,779.80/1,204.03
  6. Step 6: Final answer
    x = 3,159.20

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.