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Finding the Third Proportional to 30,984 and 65,976

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Solution

The third proportional to 30,984 and 65,976 is: 140,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984 : 65,976 = 65,976 : x
  2. Step 2: Convert to fraction form
    30,984/65,976 = 65,976/x
  3. Step 3: Cross multiply
    30,984x = 65,976 × 65,976
  4. Step 4: Simplify right side
    30,984x = 4,352,832,576
  5. Step 5: Solve for x
    x = 4,352,832,576/30,984
  6. Step 6: Final answer
    x = 140,486.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.