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Finding the Third Proportional to 30,831 and 66,570

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Solution

The third proportional to 30,831 and 66,570 is: 143,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831 : 66,570 = 66,570 : x
  2. Step 2: Convert to fraction form
    30,831/66,570 = 66,570/x
  3. Step 3: Cross multiply
    30,831x = 66,570 × 66,570
  4. Step 4: Simplify right side
    30,831x = 4,431,564,900
  5. Step 5: Solve for x
    x = 4,431,564,900/30,831
  6. Step 6: Final answer
    x = 143,737.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.