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Finding the Third Proportional to 86,902,563 and 188,751,903

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Solution

The third proportional to 86,902,563 and 188,751,903 is: 409,968,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,902,563 : 188,751,903 = 188,751,903 : x
  2. Step 2: Convert to fraction form
    86,902,563/188,751,903 = 188,751,903/x
  3. Step 3: Cross multiply
    86,902,563x = 188,751,903 × 188,751,903
  4. Step 4: Simplify right side
    86,902,563x = 35,627,280,886,121,408
  5. Step 5: Solve for x
    x = 35,627,280,886,121,408/86,902,563
  6. Step 6: Final answer
    x = 409,968,125.87

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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.