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Finding the Third Proportional to 76,878 and 119,313

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Solution

The third proportional to 76,878 and 119,313 is: 185,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,878 : 119,313 = 119,313 : x
  2. Step 2: Convert to fraction form
    76,878/119,313 = 119,313/x
  3. Step 3: Cross multiply
    76,878x = 119,313 × 119,313
  4. Step 4: Simplify right side
    76,878x = 14,235,591,969
  5. Step 5: Solve for x
    x = 14,235,591,969/76,878
  6. Step 6: Final answer
    x = 185,171.21

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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.