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Finding the Third Proportional to 67,512 and 145,414

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Solution

The third proportional to 67,512 and 145,414 is: 313,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,512 : 145,414 = 145,414 : x
  2. Step 2: Convert to fraction form
    67,512/145,414 = 145,414/x
  3. Step 3: Cross multiply
    67,512x = 145,414 × 145,414
  4. Step 4: Simplify right side
    67,512x = 21,145,231,396
  5. Step 5: Solve for x
    x = 21,145,231,396/67,512
  6. Step 6: Final answer
    x = 313,207.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.