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Finding the Third Proportional to 131,494,256,552 and 203,279,895,741

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Solution

The third proportional to 131,494,256,552 and 203,279,895,741 is: 314,254,911,933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,494,256,552 : 203,279,895,741 = 203,279,895,741 : x
  2. Step 2: Convert to fraction form
    131,494,256,552/203,279,895,741 = 203,279,895,741/x
  3. Step 3: Cross multiply
    131,494,256,552x = 203,279,895,741 × 203,279,895,741
  4. Step 4: Simplify right side
    131,494,256,552x = 41,322,716,012,471,828,611,072
  5. Step 5: Solve for x
    x = 41,322,716,012,471,828,611,072/131,494,256,552
  6. Step 6: Final answer
    x = 314,254,911,933.21

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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.