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Finding the Third Proportional to 57,747,796.88 and 128,407,091.63

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Solution

The third proportional to 57,747,796.88 and 128,407,091.63 is: 285,523,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,747,796.88 : 128,407,091.63 = 128,407,091.63 : x
  2. Step 2: Convert to fraction form
    57,747,796.88/128,407,091.63 = 128,407,091.63/x
  3. Step 3: Cross multiply
    57,747,796.88x = 128,407,091.63 × 128,407,091.63
  4. Step 4: Simplify right side
    57,747,796.88x = 16,488,381,179,591,146
  5. Step 5: Solve for x
    x = 16,488,381,179,591,146/57,747,796.88
  6. Step 6: Final answer
    x = 285,523,986.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.