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Finding the Third Proportional to 120,056 and 162,785

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Solution

The third proportional to 120,056 and 162,785 is: 220,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,056 : 162,785 = 162,785 : x
  2. Step 2: Convert to fraction form
    120,056/162,785 = 162,785/x
  3. Step 3: Cross multiply
    120,056x = 162,785 × 162,785
  4. Step 4: Simplify right side
    120,056x = 26,498,956,225
  5. Step 5: Solve for x
    x = 26,498,956,225/120,056
  6. Step 6: Final answer
    x = 220,721.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.