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Finding the Third Proportional to 47,190.50 and 103,706

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Solution

The third proportional to 47,190.50 and 103,706 is: 227,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,190.50 : 103,706 = 103,706 : x
  2. Step 2: Convert to fraction form
    47,190.50/103,706 = 103,706/x
  3. Step 3: Cross multiply
    47,190.50x = 103,706 × 103,706
  4. Step 4: Simplify right side
    47,190.50x = 10,754,934,436
  5. Step 5: Solve for x
    x = 10,754,934,436/47,190.50
  6. Step 6: Final answer
    x = 227,904.65

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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.