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Finding the Third Proportional to 317,181 and 463,864

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Solution

The third proportional to 317,181 and 463,864 is: 678,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,181 : 463,864 = 463,864 : x
  2. Step 2: Convert to fraction form
    317,181/463,864 = 463,864/x
  3. Step 3: Cross multiply
    317,181x = 463,864 × 463,864
  4. Step 4: Simplify right side
    317,181x = 215,169,810,496
  5. Step 5: Solve for x
    x = 215,169,810,496/317,181
  6. Step 6: Final answer
    x = 678,381.78

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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.