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Finding the Third Proportional to 120,313,163 and 178,284,849

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Solution

The third proportional to 120,313,163 and 178,284,849 is: 264,189,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,313,163 : 178,284,849 = 178,284,849 : x
  2. Step 2: Convert to fraction form
    120,313,163/178,284,849 = 178,284,849/x
  3. Step 3: Cross multiply
    120,313,163x = 178,284,849 × 178,284,849
  4. Step 4: Simplify right side
    120,313,163x = 31,785,487,382,952,800
  5. Step 5: Solve for x
    x = 31,785,487,382,952,800/120,313,163
  6. Step 6: Final answer
    x = 264,189,608.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.