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Finding the Third Proportional to 317,177 and 463,857

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Solution

The third proportional to 317,177 and 463,857 is: 678,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,177 : 463,857 = 463,857 : x
  2. Step 2: Convert to fraction form
    317,177/463,857 = 463,857/x
  3. Step 3: Cross multiply
    317,177x = 463,857 × 463,857
  4. Step 4: Simplify right side
    317,177x = 215,163,316,449
  5. Step 5: Solve for x
    x = 215,163,316,449/317,177
  6. Step 6: Final answer
    x = 678,369.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.