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Finding the Third Proportional to 76,681.50 and 166,863

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Solution

The third proportional to 76,681.50 and 166,863 is: 363,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,681.50 : 166,863 = 166,863 : x
  2. Step 2: Convert to fraction form
    76,681.50/166,863 = 166,863/x
  3. Step 3: Cross multiply
    76,681.50x = 166,863 × 166,863
  4. Step 4: Simplify right side
    76,681.50x = 27,843,260,769
  5. Step 5: Solve for x
    x = 27,843,260,769/76,681.50
  6. Step 6: Final answer
    x = 363,102.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.