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Finding the Third Proportional to 128,567 and 279,058

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Solution

The third proportional to 128,567 and 279,058 is: 605,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,567 : 279,058 = 279,058 : x
  2. Step 2: Convert to fraction form
    128,567/279,058 = 279,058/x
  3. Step 3: Cross multiply
    128,567x = 279,058 × 279,058
  4. Step 4: Simplify right side
    128,567x = 77,873,367,364
  5. Step 5: Solve for x
    x = 77,873,367,364/128,567
  6. Step 6: Final answer
    x = 605,702.61

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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.