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Finding the Third Proportional to 33,060,136.50 and 77,200,992

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Solution

The third proportional to 33,060,136.50 and 77,200,992 is: 180,277,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,060,136.50 : 77,200,992 = 77,200,992 : x
  2. Step 2: Convert to fraction form
    33,060,136.50/77,200,992 = 77,200,992/x
  3. Step 3: Cross multiply
    33,060,136.50x = 77,200,992 × 77,200,992
  4. Step 4: Simplify right side
    33,060,136.50x = 5,959,993,165,784,064
  5. Step 5: Solve for x
    x = 5,959,993,165,784,064/33,060,136.50
  6. Step 6: Final answer
    x = 180,277,330.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.