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Finding the Third Proportional to 299.32 and 455.31

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Solution

The third proportional to 299.32 and 455.31 is: 692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.32 : 455.31 = 455.31 : x
  2. Step 2: Convert to fraction form
    299.32/455.31 = 455.31/x
  3. Step 3: Cross multiply
    299.32x = 455.31 × 455.31
  4. Step 4: Simplify right side
    299.32x = 207,305.92
  5. Step 5: Solve for x
    x = 207,305.92/299.32
  6. Step 6: Final answer
    x = 692.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.