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Finding the Third Proportional to 60,745.50 and 133,443

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Solution

The third proportional to 60,745.50 and 133,443 is: 293,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,745.50 : 133,443 = 133,443 : x
  2. Step 2: Convert to fraction form
    60,745.50/133,443 = 133,443/x
  3. Step 3: Cross multiply
    60,745.50x = 133,443 × 133,443
  4. Step 4: Simplify right side
    60,745.50x = 17,807,034,249
  5. Step 5: Solve for x
    x = 17,807,034,249/60,745.50
  6. Step 6: Final answer
    x = 293,141.62

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