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Finding the Third Proportional to 174,872 and 256,509

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Solution

The third proportional to 174,872 and 256,509 is: 376,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,872 : 256,509 = 256,509 : x
  2. Step 2: Convert to fraction form
    174,872/256,509 = 256,509/x
  3. Step 3: Cross multiply
    174,872x = 256,509 × 256,509
  4. Step 4: Simplify right side
    174,872x = 65,796,867,081
  5. Step 5: Solve for x
    x = 65,796,867,081/174,872
  6. Step 6: Final answer
    x = 376,257.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.