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Finding the Third Proportional to 366,915 and 767,121

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Solution

The third proportional to 366,915 and 767,121 is: 1,603,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,915 : 767,121 = 767,121 : x
  2. Step 2: Convert to fraction form
    366,915/767,121 = 767,121/x
  3. Step 3: Cross multiply
    366,915x = 767,121 × 767,121
  4. Step 4: Simplify right side
    366,915x = 588,474,628,641
  5. Step 5: Solve for x
    x = 588,474,628,641/366,915
  6. Step 6: Final answer
    x = 1,603,844.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.