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Finding the Third Proportional to 132,169,178.25 and 275,199,970.50

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Solution

The third proportional to 132,169,178.25 and 275,199,970.50 is: 573,015,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,169,178.25 : 275,199,970.50 = 275,199,970.50 : x
  2. Step 2: Convert to fraction form
    132,169,178.25/275,199,970.50 = 275,199,970.50/x
  3. Step 3: Cross multiply
    132,169,178.25x = 275,199,970.50 × 275,199,970.50
  4. Step 4: Simplify right side
    132,169,178.25x = 75,735,023,763,200,864
  5. Step 5: Solve for x
    x = 75,735,023,763,200,864/132,169,178.25
  6. Step 6: Final answer
    x = 573,015,772.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.