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Finding the Third Proportional to 1,418.13 and 3,821.55

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Solution

The third proportional to 1,418.13 and 3,821.55 is: 10,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.13 : 3,821.55 = 3,821.55 : x
  2. Step 2: Convert to fraction form
    1,418.13/3,821.55 = 3,821.55/x
  3. Step 3: Cross multiply
    1,418.13x = 3,821.55 × 3,821.55
  4. Step 4: Simplify right side
    1,418.13x = 14,604,280.23
  5. Step 5: Solve for x
    x = 14,604,280.23/1,418.13
  6. Step 6: Final answer
    x = 10,298.25

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.