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Finding the Third Proportional to 1,986.61 and 3,145.08

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Solution

The third proportional to 1,986.61 and 3,145.08 is: 4,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.61 : 3,145.08 = 3,145.08 : x
  2. Step 2: Convert to fraction form
    1,986.61/3,145.08 = 3,145.08/x
  3. Step 3: Cross multiply
    1,986.61x = 3,145.08 × 3,145.08
  4. Step 4: Simplify right side
    1,986.61x = 9,891,516.41
  5. Step 5: Solve for x
    x = 9,891,516.41/1,986.61
  6. Step 6: Final answer
    x = 4,979.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.