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Finding the Third Proportional to 376,942 and 812,930

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Solution

The third proportional to 376,942 and 812,930 is: 1,753,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,942 : 812,930 = 812,930 : x
  2. Step 2: Convert to fraction form
    376,942/812,930 = 812,930/x
  3. Step 3: Cross multiply
    376,942x = 812,930 × 812,930
  4. Step 4: Simplify right side
    376,942x = 660,855,184,900
  5. Step 5: Solve for x
    x = 660,855,184,900/376,942
  6. Step 6: Final answer
    x = 1,753,201.25

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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.