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Finding the Third Proportional to 71,577,520 and 109,448,016

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Solution

The third proportional to 71,577,520 and 109,448,016 is: 167,355,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,577,520 : 109,448,016 = 109,448,016 : x
  2. Step 2: Convert to fraction form
    71,577,520/109,448,016 = 109,448,016/x
  3. Step 3: Cross multiply
    71,577,520x = 109,448,016 × 109,448,016
  4. Step 4: Simplify right side
    71,577,520x = 11,978,868,206,336,256
  5. Step 5: Solve for x
    x = 11,978,868,206,336,256/71,577,520
  6. Step 6: Final answer
    x = 167,355,172.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.