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Finding the Third Proportional to 775,872 and 1,691,415

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Solution

The third proportional to 775,872 and 1,691,415 is: 3,687,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,872 : 1,691,415 = 1,691,415 : x
  2. Step 2: Convert to fraction form
    775,872/1,691,415 = 1,691,415/x
  3. Step 3: Cross multiply
    775,872x = 1,691,415 × 1,691,415
  4. Step 4: Simplify right side
    775,872x = 2,860,884,702,225
  5. Step 5: Solve for x
    x = 2,860,884,702,225/775,872
  6. Step 6: Final answer
    x = 3,687,315.31

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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.