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Finding the Third Proportional to 136,462,538 and 322,141,757

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Solution

The third proportional to 136,462,538 and 322,141,757 is: 760,467,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,462,538 : 322,141,757 = 322,141,757 : x
  2. Step 2: Convert to fraction form
    136,462,538/322,141,757 = 322,141,757/x
  3. Step 3: Cross multiply
    136,462,538x = 322,141,757 × 322,141,757
  4. Step 4: Simplify right side
    136,462,538x = 103,775,311,603,047,056
  5. Step 5: Solve for x
    x = 103,775,311,603,047,056/136,462,538
  6. Step 6: Final answer
    x = 760,467,400.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.