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Finding the Third Proportional to 317,365 and 463,885

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Solution

The third proportional to 317,365 and 463,885 is: 678,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,365 : 463,885 = 463,885 : x
  2. Step 2: Convert to fraction form
    317,365/463,885 = 463,885/x
  3. Step 3: Cross multiply
    317,365x = 463,885 × 463,885
  4. Step 4: Simplify right side
    317,365x = 215,189,293,225
  5. Step 5: Solve for x
    x = 215,189,293,225/317,365
  6. Step 6: Final answer
    x = 678,049.86

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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.