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Finding the Third Proportional to 257,269 and 366,986

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Solution

The third proportional to 257,269 and 366,986 is: 523,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,269 : 366,986 = 366,986 : x
  2. Step 2: Convert to fraction form
    257,269/366,986 = 366,986/x
  3. Step 3: Cross multiply
    257,269x = 366,986 × 366,986
  4. Step 4: Simplify right side
    257,269x = 134,678,724,196
  5. Step 5: Solve for x
    x = 134,678,724,196/257,269
  6. Step 6: Final answer
    x = 523,493.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.