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Finding the Third Proportional to 41,720,989.50 and 90,624,198.38

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Solution

The third proportional to 41,720,989.50 and 90,624,198.38 is: 196,849,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,720,989.50 : 90,624,198.38 = 90,624,198.38 : x
  2. Step 2: Convert to fraction form
    41,720,989.50/90,624,198.38 = 90,624,198.38/x
  3. Step 3: Cross multiply
    41,720,989.50x = 90,624,198.38 × 90,624,198.38
  4. Step 4: Simplify right side
    41,720,989.50x = 8,212,745,331,111,353
  5. Step 5: Solve for x
    x = 8,212,745,331,111,353/41,720,989.50
  6. Step 6: Final answer
    x = 196,849,246.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.