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Finding the Third Proportional to 110,910 and 155,221

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Solution

The third proportional to 110,910 and 155,221 is: 217,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,910 : 155,221 = 155,221 : x
  2. Step 2: Convert to fraction form
    110,910/155,221 = 155,221/x
  3. Step 3: Cross multiply
    110,910x = 155,221 × 155,221
  4. Step 4: Simplify right side
    110,910x = 24,093,558,841
  5. Step 5: Solve for x
    x = 24,093,558,841/110,910
  6. Step 6: Final answer
    x = 217,235.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.