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Finding the Third Proportional to 389.81 and 903.66

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Solution

The third proportional to 389.81 and 903.66 is: 2,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.81 : 903.66 = 903.66 : x
  2. Step 2: Convert to fraction form
    389.81/903.66 = 903.66/x
  3. Step 3: Cross multiply
    389.81x = 903.66 × 903.66
  4. Step 4: Simplify right side
    389.81x = 816,594.62
  5. Step 5: Solve for x
    x = 816,594.62/389.81
  6. Step 6: Final answer
    x = 2,094.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.