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Finding the Third Proportional to 202.90 and 459.18

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Solution

The third proportional to 202.90 and 459.18 is: 1,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.90 : 459.18 = 459.18 : x
  2. Step 2: Convert to fraction form
    202.90/459.18 = 459.18/x
  3. Step 3: Cross multiply
    202.90x = 459.18 × 459.18
  4. Step 4: Simplify right side
    202.90x = 210,850.47
  5. Step 5: Solve for x
    x = 210,850.47/202.90
  6. Step 6: Final answer
    x = 1,039.21

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.