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Finding the Third Proportional to 137,079 and 285,128

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Solution

The third proportional to 137,079 and 285,128 is: 593,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,079 : 285,128 = 285,128 : x
  2. Step 2: Convert to fraction form
    137,079/285,128 = 285,128/x
  3. Step 3: Cross multiply
    137,079x = 285,128 × 285,128
  4. Step 4: Simplify right side
    137,079x = 81,297,976,384
  5. Step 5: Solve for x
    x = 81,297,976,384/137,079
  6. Step 6: Final answer
    x = 593,073.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.