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Finding the Third Proportional to 376,870 and 812,824

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Solution

The third proportional to 376,870 and 812,824 is: 1,753,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,870 : 812,824 = 812,824 : x
  2. Step 2: Convert to fraction form
    376,870/812,824 = 812,824/x
  3. Step 3: Cross multiply
    376,870x = 812,824 × 812,824
  4. Step 4: Simplify right side
    376,870x = 660,682,854,976
  5. Step 5: Solve for x
    x = 660,682,854,976/376,870
  6. Step 6: Final answer
    x = 1,753,078.93

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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.