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Finding the Third Proportional to 86,090,972,436 and 121,182,231,119

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Solution

The third proportional to 86,090,972,436 and 121,182,231,119 is: 170,576,922,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,090,972,436 : 121,182,231,119 = 121,182,231,119 : x
  2. Step 2: Convert to fraction form
    86,090,972,436/121,182,231,119 = 121,182,231,119/x
  3. Step 3: Cross multiply
    86,090,972,436x = 121,182,231,119 × 121,182,231,119
  4. Step 4: Simplify right side
    86,090,972,436x = 14,685,133,138,978,731,458,560
  5. Step 5: Solve for x
    x = 14,685,133,138,978,731,458,560/86,090,972,436
  6. Step 6: Final answer
    x = 170,576,922,567.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.