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Finding the Third Proportional to 257,242 and 402,327

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Solution

The third proportional to 257,242 and 402,327 is: 629,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,242 : 402,327 = 402,327 : x
  2. Step 2: Convert to fraction form
    257,242/402,327 = 402,327/x
  3. Step 3: Cross multiply
    257,242x = 402,327 × 402,327
  4. Step 4: Simplify right side
    257,242x = 161,867,014,929
  5. Step 5: Solve for x
    x = 161,867,014,929/257,242
  6. Step 6: Final answer
    x = 629,240.23

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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.