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Finding the Third Proportional to 81,157,512 and 165,149,320

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Solution

The third proportional to 81,157,512 and 165,149,320 is: 336,066,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,157,512 : 165,149,320 = 165,149,320 : x
  2. Step 2: Convert to fraction form
    81,157,512/165,149,320 = 165,149,320/x
  3. Step 3: Cross multiply
    81,157,512x = 165,149,320 × 165,149,320
  4. Step 4: Simplify right side
    81,157,512x = 27,274,297,896,462,400
  5. Step 5: Solve for x
    x = 27,274,297,896,462,400/81,157,512
  6. Step 6: Final answer
    x = 336,066,215.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.