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Finding the Third Proportional to 110,910 and 156,213

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Solution

The third proportional to 110,910 and 156,213 is: 220,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,910 : 156,213 = 156,213 : x
  2. Step 2: Convert to fraction form
    110,910/156,213 = 156,213/x
  3. Step 3: Cross multiply
    110,910x = 156,213 × 156,213
  4. Step 4: Simplify right side
    110,910x = 24,402,501,369
  5. Step 5: Solve for x
    x = 24,402,501,369/110,910
  6. Step 6: Final answer
    x = 220,020.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.