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Finding the Third Proportional to 379,012 and 816,776

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Solution

The third proportional to 379,012 and 816,776 is: 1,760,163.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,012 : 816,776 = 816,776 : x
  2. Step 2: Convert to fraction form
    379,012/816,776 = 816,776/x
  3. Step 3: Cross multiply
    379,012x = 816,776 × 816,776
  4. Step 4: Simplify right side
    379,012x = 667,123,034,176
  5. Step 5: Solve for x
    x = 667,123,034,176/379,012
  6. Step 6: Final answer
    x = 1,760,163.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.