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Finding the Third Proportional to 375,936 and 813,824

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Solution

The third proportional to 375,936 and 813,824 is: 1,761,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,936 : 813,824 = 813,824 : x
  2. Step 2: Convert to fraction form
    375,936/813,824 = 813,824/x
  3. Step 3: Cross multiply
    375,936x = 813,824 × 813,824
  4. Step 4: Simplify right side
    375,936x = 662,309,502,976
  5. Step 5: Solve for x
    x = 662,309,502,976/375,936
  6. Step 6: Final answer
    x = 1,761,761.32

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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.