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Finding the Third Proportional to 8,416,634 and 18,407,764

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Solution

The third proportional to 8,416,634 and 18,407,764 is: 40,259,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416,634 : 18,407,764 = 18,407,764 : x
  2. Step 2: Convert to fraction form
    8,416,634/18,407,764 = 18,407,764/x
  3. Step 3: Cross multiply
    8,416,634x = 18,407,764 × 18,407,764
  4. Step 4: Simplify right side
    8,416,634x = 338,845,775,479,696
  5. Step 5: Solve for x
    x = 338,845,775,479,696/8,416,634
  6. Step 6: Final answer
    x = 40,259,060.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.