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Finding the Third Proportional to 76,120 and 118,788

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Solution

The third proportional to 76,120 and 118,788 is: 185,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,120 : 118,788 = 118,788 : x
  2. Step 2: Convert to fraction form
    76,120/118,788 = 118,788/x
  3. Step 3: Cross multiply
    76,120x = 118,788 × 118,788
  4. Step 4: Simplify right side
    76,120x = 14,110,588,944
  5. Step 5: Solve for x
    x = 14,110,588,944/76,120
  6. Step 6: Final answer
    x = 185,372.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.