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Finding the Third Proportional to 9,945,267 and 21,420,828

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Solution

The third proportional to 9,945,267 and 21,420,828 is: 46,137,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945,267 : 21,420,828 = 21,420,828 : x
  2. Step 2: Convert to fraction form
    9,945,267/21,420,828 = 21,420,828/x
  3. Step 3: Cross multiply
    9,945,267x = 21,420,828 × 21,420,828
  4. Step 4: Simplify right side
    9,945,267x = 458,851,872,205,584
  5. Step 5: Solve for x
    x = 458,851,872,205,584/9,945,267
  6. Step 6: Final answer
    x = 46,137,712.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.