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Finding the Third Proportional to 202,878 and 292,227.75

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Solution

The third proportional to 202,878 and 292,227.75 is: 420,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,878 : 292,227.75 = 292,227.75 : x
  2. Step 2: Convert to fraction form
    202,878/292,227.75 = 292,227.75/x
  3. Step 3: Cross multiply
    202,878x = 292,227.75 × 292,227.75
  4. Step 4: Simplify right side
    202,878x = 85,397,057,870.06
  5. Step 5: Solve for x
    x = 85,397,057,870.06/202,878
  6. Step 6: Final answer
    x = 420,928.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.