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Finding the Third Proportional to 67,940 and 148,220

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Solution

The third proportional to 67,940 and 148,220 is: 323,361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,940 : 148,220 = 148,220 : x
  2. Step 2: Convert to fraction form
    67,940/148,220 = 148,220/x
  3. Step 3: Cross multiply
    67,940x = 148,220 × 148,220
  4. Step 4: Simplify right side
    67,940x = 21,969,168,400
  5. Step 5: Solve for x
    x = 21,969,168,400/67,940
  6. Step 6: Final answer
    x = 323,361.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.