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Finding the Third Proportional to 986.36 and 1,561.23

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Solution

The third proportional to 986.36 and 1,561.23 is: 2,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.36 : 1,561.23 = 1,561.23 : x
  2. Step 2: Convert to fraction form
    986.36/1,561.23 = 1,561.23/x
  3. Step 3: Cross multiply
    986.36x = 1,561.23 × 1,561.23
  4. Step 4: Simplify right side
    986.36x = 2,437,431.43
  5. Step 5: Solve for x
    x = 2,437,431.43/986.36
  6. Step 6: Final answer
    x = 2,471.15

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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.