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Finding the Third Proportional to 660.52 and 1,431.11

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Solution

The third proportional to 660.52 and 1,431.11 is: 3,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.52 : 1,431.11 = 1,431.11 : x
  2. Step 2: Convert to fraction form
    660.52/1,431.11 = 1,431.11/x
  3. Step 3: Cross multiply
    660.52x = 1,431.11 × 1,431.11
  4. Step 4: Simplify right side
    660.52x = 2,048,074.04
  5. Step 5: Solve for x
    x = 2,048,074.04/660.52
  6. Step 6: Final answer
    x = 3,100.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.