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Finding the Third Proportional to 33,290.50 and 71,477

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Solution

The third proportional to 33,290.50 and 71,477 is: 153,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,290.50 : 71,477 = 71,477 : x
  2. Step 2: Convert to fraction form
    33,290.50/71,477 = 71,477/x
  3. Step 3: Cross multiply
    33,290.50x = 71,477 × 71,477
  4. Step 4: Simplify right side
    33,290.50x = 5,108,961,529
  5. Step 5: Solve for x
    x = 5,108,961,529/33,290.50
  6. Step 6: Final answer
    x = 153,466.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.