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Finding the Third Proportional to 375,439 and 816,974

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Solution

The third proportional to 375,439 and 816,974 is: 1,777,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,439 : 816,974 = 816,974 : x
  2. Step 2: Convert to fraction form
    375,439/816,974 = 816,974/x
  3. Step 3: Cross multiply
    375,439x = 816,974 × 816,974
  4. Step 4: Simplify right side
    375,439x = 667,446,516,676
  5. Step 5: Solve for x
    x = 667,446,516,676/375,439
  6. Step 6: Final answer
    x = 1,777,776.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.