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Finding the Third Proportional to 299.57 and 651.87

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Solution

The third proportional to 299.57 and 651.87 is: 1,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.57 : 651.87 = 651.87 : x
  2. Step 2: Convert to fraction form
    299.57/651.87 = 651.87/x
  3. Step 3: Cross multiply
    299.57x = 651.87 × 651.87
  4. Step 4: Simplify right side
    299.57x = 424,930.83
  5. Step 5: Solve for x
    x = 424,930.83/299.57
  6. Step 6: Final answer
    x = 1,418.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.