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Finding the Third Proportional to 283.13 and 403.94

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Solution

The third proportional to 283.13 and 403.94 is: 576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.13 : 403.94 = 403.94 : x
  2. Step 2: Convert to fraction form
    283.13/403.94 = 403.94/x
  3. Step 3: Cross multiply
    283.13x = 403.94 × 403.94
  4. Step 4: Simplify right side
    283.13x = 163,165.50
  5. Step 5: Solve for x
    x = 163,165.50/283.13
  6. Step 6: Final answer
    x = 576.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.