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Finding the Third Proportional to 202,869 and 315,784.13

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Solution

The third proportional to 202,869 and 315,784.13 is: 491,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,869 : 315,784.13 = 315,784.13 : x
  2. Step 2: Convert to fraction form
    202,869/315,784.13 = 315,784.13/x
  3. Step 3: Cross multiply
    202,869x = 315,784.13 × 315,784.13
  4. Step 4: Simplify right side
    202,869x = 99,719,613,602.02
  5. Step 5: Solve for x
    x = 99,719,613,602.02/202,869
  6. Step 6: Final answer
    x = 491,546.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.