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Finding the Third Proportional to 40,388,960 and 86,936,512

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Solution

The third proportional to 40,388,960 and 86,936,512 is: 187,129,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,388,960 : 86,936,512 = 86,936,512 : x
  2. Step 2: Convert to fraction form
    40,388,960/86,936,512 = 86,936,512/x
  3. Step 3: Cross multiply
    40,388,960x = 86,936,512 × 86,936,512
  4. Step 4: Simplify right side
    40,388,960x = 7,557,957,118,726,144
  5. Step 5: Solve for x
    x = 7,557,957,118,726,144/40,388,960
  6. Step 6: Final answer
    x = 187,129,282.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.