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Finding the Third Proportional to 243,682 and 378,771

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Solution

The third proportional to 243,682 and 378,771 is: 588,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,682 : 378,771 = 378,771 : x
  2. Step 2: Convert to fraction form
    243,682/378,771 = 378,771/x
  3. Step 3: Cross multiply
    243,682x = 378,771 × 378,771
  4. Step 4: Simplify right side
    243,682x = 143,467,470,441
  5. Step 5: Solve for x
    x = 143,467,470,441/243,682
  6. Step 6: Final answer
    x = 588,748.74

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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.