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Finding the Third Proportional to 33,515,856 and 51,248,427.75

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Solution

The third proportional to 33,515,856 and 51,248,427.75 is: 78,362,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,515,856 : 51,248,427.75 = 51,248,427.75 : x
  2. Step 2: Convert to fraction form
    33,515,856/51,248,427.75 = 51,248,427.75/x
  3. Step 3: Cross multiply
    33,515,856x = 51,248,427.75 × 51,248,427.75
  4. Step 4: Simplify right side
    33,515,856x = 2,626,401,346,846,970
  5. Step 5: Solve for x
    x = 2,626,401,346,846,970/33,515,856
  6. Step 6: Final answer
    x = 78,362,949.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.