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Finding the Third Proportional to 67,972 and 149,768

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Solution

The third proportional to 67,972 and 149,768 is: 329,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,972 : 149,768 = 149,768 : x
  2. Step 2: Convert to fraction form
    67,972/149,768 = 149,768/x
  3. Step 3: Cross multiply
    67,972x = 149,768 × 149,768
  4. Step 4: Simplify right side
    67,972x = 22,430,453,824
  5. Step 5: Solve for x
    x = 22,430,453,824/67,972
  6. Step 6: Final answer
    x = 329,995.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.