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Finding the Third Proportional to 9,765,770 and 21,212,828

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Solution

The third proportional to 9,765,770 and 21,212,828 is: 46,077,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765,770 : 21,212,828 = 21,212,828 : x
  2. Step 2: Convert to fraction form
    9,765,770/21,212,828 = 21,212,828/x
  3. Step 3: Cross multiply
    9,765,770x = 21,212,828 × 21,212,828
  4. Step 4: Simplify right side
    9,765,770x = 449,984,071,757,584
  5. Step 5: Solve for x
    x = 449,984,071,757,584/9,765,770
  6. Step 6: Final answer
    x = 46,077,684.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.