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Finding the Third Proportional to 60,031 and 128,956

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Solution

The third proportional to 60,031 and 128,956 is: 277,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,031 : 128,956 = 128,956 : x
  2. Step 2: Convert to fraction form
    60,031/128,956 = 128,956/x
  3. Step 3: Cross multiply
    60,031x = 128,956 × 128,956
  4. Step 4: Simplify right side
    60,031x = 16,629,649,936
  5. Step 5: Solve for x
    x = 16,629,649,936/60,031
  6. Step 6: Final answer
    x = 277,017.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.