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Finding the Third Proportional to 389.13 and 902.38

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Solution

The third proportional to 389.13 and 902.38 is: 2,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.13 : 902.38 = 902.38 : x
  2. Step 2: Convert to fraction form
    389.13/902.38 = 902.38/x
  3. Step 3: Cross multiply
    389.13x = 902.38 × 902.38
  4. Step 4: Simplify right side
    389.13x = 814,280.64
  5. Step 5: Solve for x
    x = 814,280.64/389.13
  6. Step 6: Final answer
    x = 2,092.59

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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.