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Finding the Third Proportional to 379,978 and 810,808

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Solution

The third proportional to 379,978 and 810,808 is: 1,730,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,978 : 810,808 = 810,808 : x
  2. Step 2: Convert to fraction form
    379,978/810,808 = 810,808/x
  3. Step 3: Cross multiply
    379,978x = 810,808 × 810,808
  4. Step 4: Simplify right side
    379,978x = 657,409,612,864
  5. Step 5: Solve for x
    x = 657,409,612,864/379,978
  6. Step 6: Final answer
    x = 1,730,125.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.