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Finding the Third Proportional to 299.39 and 651.52

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Solution

The third proportional to 299.39 and 651.52 is: 1,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.39 : 651.52 = 651.52 : x
  2. Step 2: Convert to fraction form
    299.39/651.52 = 651.52/x
  3. Step 3: Cross multiply
    299.39x = 651.52 × 651.52
  4. Step 4: Simplify right side
    299.39x = 424,472.61
  5. Step 5: Solve for x
    x = 424,472.61/299.39
  6. Step 6: Final answer
    x = 1,417.79

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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.