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Finding the Third Proportional to 418.13 and 903.18

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Solution

The third proportional to 418.13 and 903.18 is: 1,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.13 : 903.18 = 903.18 : x
  2. Step 2: Convert to fraction form
    418.13/903.18 = 903.18/x
  3. Step 3: Cross multiply
    418.13x = 903.18 × 903.18
  4. Step 4: Simplify right side
    418.13x = 815,737.08
  5. Step 5: Solve for x
    x = 815,737.08/418.13
  6. Step 6: Final answer
    x = 1,950.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.