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Finding the Third Proportional to 30,986 and 66,940

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Solution

The third proportional to 30,986 and 66,940 is: 144,612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986 : 66,940 = 66,940 : x
  2. Step 2: Convert to fraction form
    30,986/66,940 = 66,940/x
  3. Step 3: Cross multiply
    30,986x = 66,940 × 66,940
  4. Step 4: Simplify right side
    30,986x = 4,480,963,600
  5. Step 5: Solve for x
    x = 4,480,963,600/30,986
  6. Step 6: Final answer
    x = 144,612.52

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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.