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Finding the Third Proportional to 57,747,965 and 128,407,411

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Solution

The third proportional to 57,747,965 and 128,407,411 is: 285,524,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,747,965 : 128,407,411 = 128,407,411 : x
  2. Step 2: Convert to fraction form
    57,747,965/128,407,411 = 128,407,411/x
  3. Step 3: Cross multiply
    57,747,965x = 128,407,411 × 128,407,411
  4. Step 4: Simplify right side
    57,747,965x = 16,488,463,199,722,920
  5. Step 5: Solve for x
    x = 16,488,463,199,722,920/57,747,965
  6. Step 6: Final answer
    x = 285,524,575.62

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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.