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Finding the Third Proportional to 202,176.75 and 431,327.25

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Solution

The third proportional to 202,176.75 and 431,327.25 is: 920,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,176.75 : 431,327.25 = 431,327.25 : x
  2. Step 2: Convert to fraction form
    202,176.75/431,327.25 = 431,327.25/x
  3. Step 3: Cross multiply
    202,176.75x = 431,327.25 × 431,327.25
  4. Step 4: Simplify right side
    202,176.75x = 186,043,196,592.56
  5. Step 5: Solve for x
    x = 186,043,196,592.56/202,176.75
  6. Step 6: Final answer
    x = 920,200.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.