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Finding the Third Proportional to 295.52 and 447.40

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Solution

The third proportional to 295.52 and 447.40 is: 677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.52 : 447.40 = 447.40 : x
  2. Step 2: Convert to fraction form
    295.52/447.40 = 447.40/x
  3. Step 3: Cross multiply
    295.52x = 447.40 × 447.40
  4. Step 4: Simplify right side
    295.52x = 200,165.36
  5. Step 5: Solve for x
    x = 200,165.36/295.52
  6. Step 6: Final answer
    x = 677.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.