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Finding the Third Proportional to 66,712 and 100,311

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Solution

The third proportional to 66,712 and 100,311 is: 150,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,712 : 100,311 = 100,311 : x
  2. Step 2: Convert to fraction form
    66,712/100,311 = 100,311/x
  3. Step 3: Cross multiply
    66,712x = 100,311 × 100,311
  4. Step 4: Simplify right side
    66,712x = 10,062,296,721
  5. Step 5: Solve for x
    x = 10,062,296,721/66,712
  6. Step 6: Final answer
    x = 150,831.89

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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.