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Finding the Third Proportional to 33,592 and 70,424

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Solution

The third proportional to 33,592 and 70,424 is: 147,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,592 : 70,424 = 70,424 : x
  2. Step 2: Convert to fraction form
    33,592/70,424 = 70,424/x
  3. Step 3: Cross multiply
    33,592x = 70,424 × 70,424
  4. Step 4: Simplify right side
    33,592x = 4,959,539,776
  5. Step 5: Solve for x
    x = 4,959,539,776/33,592
  6. Step 6: Final answer
    x = 147,640.50

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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.