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Finding the Third Proportional to 100,945,458 and 219,605,616

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Solution

The third proportional to 100,945,458 and 219,605,616 is: 477,749,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,945,458 : 219,605,616 = 219,605,616 : x
  2. Step 2: Convert to fraction form
    100,945,458/219,605,616 = 219,605,616/x
  3. Step 3: Cross multiply
    100,945,458x = 219,605,616 × 219,605,616
  4. Step 4: Simplify right side
    100,945,458x = 48,226,626,578,739,456
  5. Step 5: Solve for x
    x = 48,226,626,578,739,456/100,945,458
  6. Step 6: Final answer
    x = 477,749,346.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.