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Finding the Third Proportional to 132,005,193.75 and 188,494,340.63

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Solution

The third proportional to 132,005,193.75 and 188,494,340.63 is: 269,156,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,005,193.75 : 188,494,340.63 = 188,494,340.63 : x
  2. Step 2: Convert to fraction form
    132,005,193.75/188,494,340.63 = 188,494,340.63/x
  3. Step 3: Cross multiply
    132,005,193.75x = 188,494,340.63 × 188,494,340.63
  4. Step 4: Simplify right side
    132,005,193.75x = 35,530,116,447,653,524
  5. Step 5: Solve for x
    x = 35,530,116,447,653,524/132,005,193.75
  6. Step 6: Final answer
    x = 269,156,958.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.