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Finding the Third Proportional to 295.21 and 433.79

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Solution

The third proportional to 295.21 and 433.79 is: 637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.21 : 433.79 = 433.79 : x
  2. Step 2: Convert to fraction form
    295.21/433.79 = 433.79/x
  3. Step 3: Cross multiply
    295.21x = 433.79 × 433.79
  4. Step 4: Simplify right side
    295.21x = 188,176.34
  5. Step 5: Solve for x
    x = 188,176.34/295.21
  6. Step 6: Final answer
    x = 637.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.