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Finding the Third Proportional to 1,156.22 and 1,605.09

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Solution

The third proportional to 1,156.22 and 1,605.09 is: 2,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.22 : 1,605.09 = 1,605.09 : x
  2. Step 2: Convert to fraction form
    1,156.22/1,605.09 = 1,605.09/x
  3. Step 3: Cross multiply
    1,156.22x = 1,605.09 × 1,605.09
  4. Step 4: Simplify right side
    1,156.22x = 2,576,325.95
  5. Step 5: Solve for x
    x = 2,576,325.95/1,156.22
  6. Step 6: Final answer
    x = 2,228.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.