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Finding the Third Proportional to 76,768 and 166,110.75

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Solution

The third proportional to 76,768 and 166,110.75 is: 359,430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,768 : 166,110.75 = 166,110.75 : x
  2. Step 2: Convert to fraction form
    76,768/166,110.75 = 166,110.75/x
  3. Step 3: Cross multiply
    76,768x = 166,110.75 × 166,110.75
  4. Step 4: Simplify right side
    76,768x = 27,592,781,265.56
  5. Step 5: Solve for x
    x = 27,592,781,265.56/76,768
  6. Step 6: Final answer
    x = 359,430.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.