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Finding the Third Proportional to 361,871 and 771,834

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Solution

The third proportional to 361,871 and 771,834 is: 1,646,243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,871 : 771,834 = 771,834 : x
  2. Step 2: Convert to fraction form
    361,871/771,834 = 771,834/x
  3. Step 3: Cross multiply
    361,871x = 771,834 × 771,834
  4. Step 4: Simplify right side
    361,871x = 595,727,723,556
  5. Step 5: Solve for x
    x = 595,727,723,556/361,871
  6. Step 6: Final answer
    x = 1,646,243.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.