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Finding the Third Proportional to 9,685,980 and 21,261,285

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Solution

The third proportional to 9,685,980 and 21,261,285 is: 46,669,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685,980 : 21,261,285 = 21,261,285 : x
  2. Step 2: Convert to fraction form
    9,685,980/21,261,285 = 21,261,285/x
  3. Step 3: Cross multiply
    9,685,980x = 21,261,285 × 21,261,285
  4. Step 4: Simplify right side
    9,685,980x = 452,042,239,851,225
  5. Step 5: Solve for x
    x = 452,042,239,851,225/9,685,980
  6. Step 6: Final answer
    x = 46,669,747.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.