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Finding the Third Proportional to 117,256,910 and 253,815,149

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Solution

The third proportional to 117,256,910 and 253,815,149 is: 549,410,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,256,910 : 253,815,149 = 253,815,149 : x
  2. Step 2: Convert to fraction form
    117,256,910/253,815,149 = 253,815,149/x
  3. Step 3: Cross multiply
    117,256,910x = 253,815,149 × 253,815,149
  4. Step 4: Simplify right side
    117,256,910x = 64,422,129,861,892,200
  5. Step 5: Solve for x
    x = 64,422,129,861,892,200/117,256,910
  6. Step 6: Final answer
    x = 549,410,093.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.