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Finding the Third Proportional to 33,844.50 and 78,337.13

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Solution

The third proportional to 33,844.50 and 78,337.13 is: 181,320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,844.50 : 78,337.13 = 78,337.13 : x
  2. Step 2: Convert to fraction form
    33,844.50/78,337.13 = 78,337.13/x
  3. Step 3: Cross multiply
    33,844.50x = 78,337.13 × 78,337.13
  4. Step 4: Simplify right side
    33,844.50x = 6,136,705,153.27
  5. Step 5: Solve for x
    x = 6,136,705,153.27/33,844.50
  6. Step 6: Final answer
    x = 181,320.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.