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Finding the Third Proportional to 71,080,250 and 109,206,949

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Solution

The third proportional to 71,080,250 and 109,206,949 is: 167,784,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,080,250 : 109,206,949 = 109,206,949 : x
  2. Step 2: Convert to fraction form
    71,080,250/109,206,949 = 109,206,949/x
  3. Step 3: Cross multiply
    71,080,250x = 109,206,949 × 109,206,949
  4. Step 4: Simplify right side
    71,080,250x = 11,926,157,709,888,600
  5. Step 5: Solve for x
    x = 11,926,157,709,888,600/71,080,250
  6. Step 6: Final answer
    x = 167,784,408.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.