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Finding the Third Proportional to 1,133.72 and 1,650.09

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Solution

The third proportional to 1,133.72 and 1,650.09 is: 2,401.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.72 : 1,650.09 = 1,650.09 : x
  2. Step 2: Convert to fraction form
    1,133.72/1,650.09 = 1,650.09/x
  3. Step 3: Cross multiply
    1,133.72x = 1,650.09 × 1,650.09
  4. Step 4: Simplify right side
    1,133.72x = 2,722,809.38
  5. Step 5: Solve for x
    x = 2,722,809.38/1,133.72
  6. Step 6: Final answer
    x = 2,401.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.