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Finding the Third Proportional to 30,679 and 65,732

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Solution

The third proportional to 30,679 and 65,732 is: 140,835.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,679 : 65,732 = 65,732 : x
  2. Step 2: Convert to fraction form
    30,679/65,732 = 65,732/x
  3. Step 3: Cross multiply
    30,679x = 65,732 × 65,732
  4. Step 4: Simplify right side
    30,679x = 4,320,695,824
  5. Step 5: Solve for x
    x = 4,320,695,824/30,679
  6. Step 6: Final answer
    x = 140,835.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.