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Finding the Third Proportional to 33,746 and 70,732

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Solution

The third proportional to 33,746 and 70,732 is: 148,255.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,746 : 70,732 = 70,732 : x
  2. Step 2: Convert to fraction form
    33,746/70,732 = 70,732/x
  3. Step 3: Cross multiply
    33,746x = 70,732 × 70,732
  4. Step 4: Simplify right side
    33,746x = 5,003,015,824
  5. Step 5: Solve for x
    x = 5,003,015,824/33,746
  6. Step 6: Final answer
    x = 148,255.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.