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Finding the Third Proportional to 57,747,963 and 128,407,407

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Solution

The third proportional to 57,747,963 and 128,407,407 is: 285,524,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,747,963 : 128,407,407 = 128,407,407 : x
  2. Step 2: Convert to fraction form
    57,747,963/128,407,407 = 128,407,407/x
  3. Step 3: Cross multiply
    57,747,963x = 128,407,407 × 128,407,407
  4. Step 4: Simplify right side
    57,747,963x = 16,488,462,172,463,648
  5. Step 5: Solve for x
    x = 16,488,462,172,463,648/57,747,963
  6. Step 6: Final answer
    x = 285,524,567.72

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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.