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Finding the Third Proportional to 128,538 and 279,000

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Solution

The third proportional to 128,538 and 279,000 is: 605,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,538 : 279,000 = 279,000 : x
  2. Step 2: Convert to fraction form
    128,538/279,000 = 279,000/x
  3. Step 3: Cross multiply
    128,538x = 279,000 × 279,000
  4. Step 4: Simplify right side
    128,538x = 77,841,000,000
  5. Step 5: Solve for x
    x = 77,841,000,000/128,538
  6. Step 6: Final answer
    x = 605,587.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.