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Finding the Third Proportional to 257,038 and 401,958

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Solution

The third proportional to 257,038 and 401,958 is: 628,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,038 : 401,958 = 401,958 : x
  2. Step 2: Convert to fraction form
    257,038/401,958 = 401,958/x
  3. Step 3: Cross multiply
    257,038x = 401,958 × 401,958
  4. Step 4: Simplify right side
    257,038x = 161,570,233,764
  5. Step 5: Solve for x
    x = 161,570,233,764/257,038
  6. Step 6: Final answer
    x = 628,585.01

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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.