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Finding the Third Proportional to 289.13 and 393.47

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Solution

The third proportional to 289.13 and 393.47 is: 535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.13 : 393.47 = 393.47 : x
  2. Step 2: Convert to fraction form
    289.13/393.47 = 393.47/x
  3. Step 3: Cross multiply
    289.13x = 393.47 × 393.47
  4. Step 4: Simplify right side
    289.13x = 154,817.66
  5. Step 5: Solve for x
    x = 154,817.66/289.13
  6. Step 6: Final answer
    x = 535.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.