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Finding the Third Proportional to 80,275,256 and 120,593,748

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Solution

The third proportional to 80,275,256 and 120,593,748 is: 181,162,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,275,256 : 120,593,748 = 120,593,748 : x
  2. Step 2: Convert to fraction form
    80,275,256/120,593,748 = 120,593,748/x
  3. Step 3: Cross multiply
    80,275,256x = 120,593,748 × 120,593,748
  4. Step 4: Simplify right side
    80,275,256x = 14,542,852,056,687,504
  5. Step 5: Solve for x
    x = 14,542,852,056,687,504/80,275,256
  6. Step 6: Final answer
    x = 181,162,325.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.