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Finding the Third Proportional to 171,646 and 256,495

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Solution

The third proportional to 171,646 and 256,495 is: 383,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,646 : 256,495 = 256,495 : x
  2. Step 2: Convert to fraction form
    171,646/256,495 = 256,495/x
  3. Step 3: Cross multiply
    171,646x = 256,495 × 256,495
  4. Step 4: Simplify right side
    171,646x = 65,789,685,025
  5. Step 5: Solve for x
    x = 65,789,685,025/171,646
  6. Step 6: Final answer
    x = 383,287.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.