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Finding the Third Proportional to 75,108 and 109,860

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Solution

The third proportional to 75,108 and 109,860 is: 160,691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,108 : 109,860 = 109,860 : x
  2. Step 2: Convert to fraction form
    75,108/109,860 = 109,860/x
  3. Step 3: Cross multiply
    75,108x = 109,860 × 109,860
  4. Step 4: Simplify right side
    75,108x = 12,069,219,600
  5. Step 5: Solve for x
    x = 12,069,219,600/75,108
  6. Step 6: Final answer
    x = 160,691.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.