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Finding the Third Proportional to 75,684 and 117,108

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Solution

The third proportional to 75,684 and 117,108 is: 181,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,684 : 117,108 = 117,108 : x
  2. Step 2: Convert to fraction form
    75,684/117,108 = 117,108/x
  3. Step 3: Cross multiply
    75,684x = 117,108 × 117,108
  4. Step 4: Simplify right side
    75,684x = 13,714,283,664
  5. Step 5: Solve for x
    x = 13,714,283,664/75,684
  6. Step 6: Final answer
    x = 181,204.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.