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Finding the Third Proportional to 131,494,256,550 and 203,279,895,738

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Solution

The third proportional to 131,494,256,550 and 203,279,895,738 is: 314,254,911,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,494,256,550 : 203,279,895,738 = 203,279,895,738 : x
  2. Step 2: Convert to fraction form
    131,494,256,550/203,279,895,738 = 203,279,895,738/x
  3. Step 3: Cross multiply
    131,494,256,550x = 203,279,895,738 × 203,279,895,738
  4. Step 4: Simplify right side
    131,494,256,550x = 41,322,716,011,252,150,173,696
  5. Step 5: Solve for x
    x = 41,322,716,011,252,150,173,696/131,494,256,550
  6. Step 6: Final answer
    x = 314,254,911,928.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.