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Finding the Third Proportional to 3,640.50 and 7,800.19

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Solution

The third proportional to 3,640.50 and 7,800.19 is: 16,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.50 : 7,800.19 = 7,800.19 : x
  2. Step 2: Convert to fraction form
    3,640.50/7,800.19 = 7,800.19/x
  3. Step 3: Cross multiply
    3,640.50x = 7,800.19 × 7,800.19
  4. Step 4: Simplify right side
    3,640.50x = 60,842,925.04
  5. Step 5: Solve for x
    x = 60,842,925.04/3,640.50
  6. Step 6: Final answer
    x = 16,712.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.