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Finding the Third Proportional to 291.38 and 389.81

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Solution

The third proportional to 291.38 and 389.81 is: 521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.38 : 389.81 = 389.81 : x
  2. Step 2: Convert to fraction form
    291.38/389.81 = 389.81/x
  3. Step 3: Cross multiply
    291.38x = 389.81 × 389.81
  4. Step 4: Simplify right side
    291.38x = 151,953.79
  5. Step 5: Solve for x
    x = 151,953.79/291.38
  6. Step 6: Final answer
    x = 521.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.