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Finding the Third Proportional to 1,891.03 and 3,116.72

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Solution

The third proportional to 1,891.03 and 3,116.72 is: 5,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.03 : 3,116.72 = 3,116.72 : x
  2. Step 2: Convert to fraction form
    1,891.03/3,116.72 = 3,116.72/x
  3. Step 3: Cross multiply
    1,891.03x = 3,116.72 × 3,116.72
  4. Step 4: Simplify right side
    1,891.03x = 9,713,935.77
  5. Step 5: Solve for x
    x = 9,713,935.77/1,891.03
  6. Step 6: Final answer
    x = 5,136.85

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.