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Finding the Third Proportional to 318,864 and 486,771

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Solution

The third proportional to 318,864 and 486,771 is: 743,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,864 : 486,771 = 486,771 : x
  2. Step 2: Convert to fraction form
    318,864/486,771 = 486,771/x
  3. Step 3: Cross multiply
    318,864x = 486,771 × 486,771
  4. Step 4: Simplify right side
    318,864x = 236,946,006,441
  5. Step 5: Solve for x
    x = 236,946,006,441/318,864
  6. Step 6: Final answer
    x = 743,094.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.