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Finding the Third Proportional to 599.91 and 1,299.16

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Solution

The third proportional to 599.91 and 1,299.16 is: 2,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.91 : 1,299.16 = 1,299.16 : x
  2. Step 2: Convert to fraction form
    599.91/1,299.16 = 1,299.16/x
  3. Step 3: Cross multiply
    599.91x = 1,299.16 × 1,299.16
  4. Step 4: Simplify right side
    599.91x = 1,687,827.26
  5. Step 5: Solve for x
    x = 1,687,827.26/599.91
  6. Step 6: Final answer
    x = 2,813.49

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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.