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Finding the Third Proportional to 76,971 and 115,683

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Solution

The third proportional to 76,971 and 115,683 is: 173,864.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,971 : 115,683 = 115,683 : x
  2. Step 2: Convert to fraction form
    76,971/115,683 = 115,683/x
  3. Step 3: Cross multiply
    76,971x = 115,683 × 115,683
  4. Step 4: Simplify right side
    76,971x = 13,382,556,489
  5. Step 5: Solve for x
    x = 13,382,556,489/76,971
  6. Step 6: Final answer
    x = 173,864.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.