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Finding the Third Proportional to 376,319 and 813,978

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Solution

The third proportional to 376,319 and 813,978 is: 1,760,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,319 : 813,978 = 813,978 : x
  2. Step 2: Convert to fraction form
    376,319/813,978 = 813,978/x
  3. Step 3: Cross multiply
    376,319x = 813,978 × 813,978
  4. Step 4: Simplify right side
    376,319x = 662,560,184,484
  5. Step 5: Solve for x
    x = 662,560,184,484/376,319
  6. Step 6: Final answer
    x = 1,760,634.42

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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.