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Finding the Third Proportional to 284.13 and 433.79

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Solution

The third proportional to 284.13 and 433.79 is: 662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.13 : 433.79 = 433.79 : x
  2. Step 2: Convert to fraction form
    284.13/433.79 = 433.79/x
  3. Step 3: Cross multiply
    284.13x = 433.79 × 433.79
  4. Step 4: Simplify right side
    284.13x = 188,176.34
  5. Step 5: Solve for x
    x = 188,176.34/284.13
  6. Step 6: Final answer
    x = 662.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.