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Finding the Third Proportional to 77,314.50 and 137,619

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Solution

The third proportional to 77,314.50 and 137,619 is: 244,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,314.50 : 137,619 = 137,619 : x
  2. Step 2: Convert to fraction form
    77,314.50/137,619 = 137,619/x
  3. Step 3: Cross multiply
    77,314.50x = 137,619 × 137,619
  4. Step 4: Simplify right side
    77,314.50x = 18,938,989,161
  5. Step 5: Solve for x
    x = 18,938,989,161/77,314.50
  6. Step 6: Final answer
    x = 244,960.38

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.