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Finding the Third Proportional to 318,917 and 493,496

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Solution

The third proportional to 318,917 and 493,496 is: 763,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,917 : 493,496 = 493,496 : x
  2. Step 2: Convert to fraction form
    318,917/493,496 = 493,496/x
  3. Step 3: Cross multiply
    318,917x = 493,496 × 493,496
  4. Step 4: Simplify right side
    318,917x = 243,538,302,016
  5. Step 5: Solve for x
    x = 243,538,302,016/318,917
  6. Step 6: Final answer
    x = 763,641.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.