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Finding the Third Proportional to 418.52 and 799.05

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Solution

The third proportional to 418.52 and 799.05 is: 1,525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.52 : 799.05 = 799.05 : x
  2. Step 2: Convert to fraction form
    418.52/799.05 = 799.05/x
  3. Step 3: Cross multiply
    418.52x = 799.05 × 799.05
  4. Step 4: Simplify right side
    418.52x = 638,475.91
  5. Step 5: Solve for x
    x = 638,475.91/418.52
  6. Step 6: Final answer
    x = 1,525.57

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.