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Finding the Third Proportional to 67,398 and 145,974

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Solution

The third proportional to 67,398 and 145,974 is: 316,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,398 : 145,974 = 145,974 : x
  2. Step 2: Convert to fraction form
    67,398/145,974 = 145,974/x
  3. Step 3: Cross multiply
    67,398x = 145,974 × 145,974
  4. Step 4: Simplify right side
    67,398x = 21,308,408,676
  5. Step 5: Solve for x
    x = 21,308,408,676/67,398
  6. Step 6: Final answer
    x = 316,157.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.