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Finding the Third Proportional to 30,449,976 and 66,956,448

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Solution

The third proportional to 30,449,976 and 66,956,448 is: 147,230,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449,976 : 66,956,448 = 66,956,448 : x
  2. Step 2: Convert to fraction form
    30,449,976/66,956,448 = 66,956,448/x
  3. Step 3: Cross multiply
    30,449,976x = 66,956,448 × 66,956,448
  4. Step 4: Simplify right side
    30,449,976x = 4,483,165,928,776,704
  5. Step 5: Solve for x
    x = 4,483,165,928,776,704/30,449,976
  6. Step 6: Final answer
    x = 147,230,524.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.