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Finding the Third Proportional to 202,868 and 315,784

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Solution

The third proportional to 202,868 and 315,784 is: 491,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,868 : 315,784 = 315,784 : x
  2. Step 2: Convert to fraction form
    202,868/315,784 = 315,784/x
  3. Step 3: Cross multiply
    202,868x = 315,784 × 315,784
  4. Step 4: Simplify right side
    202,868x = 99,719,534,656
  5. Step 5: Solve for x
    x = 99,719,534,656/202,868
  6. Step 6: Final answer
    x = 491,548.86

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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.