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Finding the Third Proportional to 8,857,836 and 18,422,407.13

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Solution

The third proportional to 8,857,836 and 18,422,407.13 is: 38,314,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857,836 : 18,422,407.13 = 18,422,407.13 : x
  2. Step 2: Convert to fraction form
    8,857,836/18,422,407.13 = 18,422,407.13/x
  3. Step 3: Cross multiply
    8,857,836x = 18,422,407.13 × 18,422,407.13
  4. Step 4: Simplify right side
    8,857,836x = 339,385,084,279,250.75
  5. Step 5: Solve for x
    x = 339,385,084,279,250.75/8,857,836
  6. Step 6: Final answer
    x = 38,314,672.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.