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Finding the Third Proportional to 218,786 and 279,538

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Solution

The third proportional to 218,786 and 279,538 is: 357,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,786 : 279,538 = 279,538 : x
  2. Step 2: Convert to fraction form
    218,786/279,538 = 279,538/x
  3. Step 3: Cross multiply
    218,786x = 279,538 × 279,538
  4. Step 4: Simplify right side
    218,786x = 78,141,493,444
  5. Step 5: Solve for x
    x = 78,141,493,444/218,786
  6. Step 6: Final answer
    x = 357,159.48

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.