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Finding the Third Proportional to 9,220,920 and 19,862,256

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Solution

The third proportional to 9,220,920 and 19,862,256 is: 42,784,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220,920 : 19,862,256 = 19,862,256 : x
  2. Step 2: Convert to fraction form
    9,220,920/19,862,256 = 19,862,256/x
  3. Step 3: Cross multiply
    9,220,920x = 19,862,256 × 19,862,256
  4. Step 4: Simplify right side
    9,220,920x = 394,509,213,409,536
  5. Step 5: Solve for x
    x = 394,509,213,409,536/9,220,920
  6. Step 6: Final answer
    x = 42,784,148.81

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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.