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Finding the Third Proportional to 174,963 and 256,857

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Solution

The third proportional to 174,963 and 256,857 is: 377,082.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,963 : 256,857 = 256,857 : x
  2. Step 2: Convert to fraction form
    174,963/256,857 = 256,857/x
  3. Step 3: Cross multiply
    174,963x = 256,857 × 256,857
  4. Step 4: Simplify right side
    174,963x = 65,975,518,449
  5. Step 5: Solve for x
    x = 65,975,518,449/174,963
  6. Step 6: Final answer
    x = 377,082.69

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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.