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Finding the Third Proportional to 86,921,731 and 184,206,561

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Solution

The third proportional to 86,921,731 and 184,206,561 is: 390,374,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,921,731 : 184,206,561 = 184,206,561 : x
  2. Step 2: Convert to fraction form
    86,921,731/184,206,561 = 184,206,561/x
  3. Step 3: Cross multiply
    86,921,731x = 184,206,561 × 184,206,561
  4. Step 4: Simplify right side
    86,921,731x = 33,932,057,115,446,720
  5. Step 5: Solve for x
    x = 33,932,057,115,446,720/86,921,731
  6. Step 6: Final answer
    x = 390,374,843.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.