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Finding the Third Proportional to 389.44 and 602.81

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Solution

The third proportional to 389.44 and 602.81 is: 933.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.44 : 602.81 = 602.81 : x
  2. Step 2: Convert to fraction form
    389.44/602.81 = 602.81/x
  3. Step 3: Cross multiply
    389.44x = 602.81 × 602.81
  4. Step 4: Simplify right side
    389.44x = 363,382.91
  5. Step 5: Solve for x
    x = 363,382.91/389.44
  6. Step 6: Final answer
    x = 933.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.