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Finding the Third Proportional to 1,220.63 and 2,950.31

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Solution

The third proportional to 1,220.63 and 2,950.31 is: 7,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.63 : 2,950.31 = 2,950.31 : x
  2. Step 2: Convert to fraction form
    1,220.63/2,950.31 = 2,950.31/x
  3. Step 3: Cross multiply
    1,220.63x = 2,950.31 × 2,950.31
  4. Step 4: Simplify right side
    1,220.63x = 8,704,343.85
  5. Step 5: Solve for x
    x = 8,704,343.85/1,220.63
  6. Step 6: Final answer
    x = 7,131.05

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.