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Finding the Third Proportional to 9,721,824 and 20,939,568

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Solution

The third proportional to 9,721,824 and 20,939,568 is: 45,101,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721,824 : 20,939,568 = 20,939,568 : x
  2. Step 2: Convert to fraction form
    9,721,824/20,939,568 = 20,939,568/x
  3. Step 3: Cross multiply
    9,721,824x = 20,939,568 × 20,939,568
  4. Step 4: Simplify right side
    9,721,824x = 438,465,508,026,624
  5. Step 5: Solve for x
    x = 438,465,508,026,624/9,721,824
  6. Step 6: Final answer
    x = 45,101,156.74

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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.