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Finding the Third Proportional to 202,862 and 315,356

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Solution

The third proportional to 202,862 and 315,356 is: 490,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,862 : 315,356 = 315,356 : x
  2. Step 2: Convert to fraction form
    202,862/315,356 = 315,356/x
  3. Step 3: Cross multiply
    202,862x = 315,356 × 315,356
  4. Step 4: Simplify right side
    202,862x = 99,449,406,736
  5. Step 5: Solve for x
    x = 99,449,406,736/202,862
  6. Step 6: Final answer
    x = 490,231.82

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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.