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Finding the Third Proportional to 70,652 and 149,728

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Solution

The third proportional to 70,652 and 149,728 is: 317,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,652 : 149,728 = 149,728 : x
  2. Step 2: Convert to fraction form
    70,652/149,728 = 149,728/x
  3. Step 3: Cross multiply
    70,652x = 149,728 × 149,728
  4. Step 4: Simplify right side
    70,652x = 22,418,473,984
  5. Step 5: Solve for x
    x = 22,418,473,984/70,652
  6. Step 6: Final answer
    x = 317,308.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.