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Finding the Third Proportional to 88,479 and 194,737.50

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Solution

The third proportional to 88,479 and 194,737.50 is: 428,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,479 : 194,737.50 = 194,737.50 : x
  2. Step 2: Convert to fraction form
    88,479/194,737.50 = 194,737.50/x
  3. Step 3: Cross multiply
    88,479x = 194,737.50 × 194,737.50
  4. Step 4: Simplify right side
    88,479x = 37,922,693,906.25
  5. Step 5: Solve for x
    x = 37,922,693,906.25/88,479
  6. Step 6: Final answer
    x = 428,606.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.