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Finding the Third Proportional to 389.18 and 603.23

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Solution

The third proportional to 389.18 and 603.23 is: 935.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.18 : 603.23 = 603.23 : x
  2. Step 2: Convert to fraction form
    389.18/603.23 = 603.23/x
  3. Step 3: Cross multiply
    389.18x = 603.23 × 603.23
  4. Step 4: Simplify right side
    389.18x = 363,884.64
  5. Step 5: Solve for x
    x = 363,884.64/389.18
  6. Step 6: Final answer
    x = 935.00

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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.