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Finding the Third Proportional to 202,157 and 428,958

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Solution

The third proportional to 202,157 and 428,958 is: 910,208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,157 : 428,958 = 428,958 : x
  2. Step 2: Convert to fraction form
    202,157/428,958 = 428,958/x
  3. Step 3: Cross multiply
    202,157x = 428,958 × 428,958
  4. Step 4: Simplify right side
    202,157x = 184,004,965,764
  5. Step 5: Solve for x
    x = 184,004,965,764/202,157
  6. Step 6: Final answer
    x = 910,208.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.