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Finding the Third Proportional to 192,763.13 and 417,704.63

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Solution

The third proportional to 192,763.13 and 417,704.63 is: 905,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,763.13 : 417,704.63 = 417,704.63 : x
  2. Step 2: Convert to fraction form
    192,763.13/417,704.63 = 417,704.63/x
  3. Step 3: Cross multiply
    192,763.13x = 417,704.63 × 417,704.63
  4. Step 4: Simplify right side
    192,763.13x = 174,477,153,746.39
  5. Step 5: Solve for x
    x = 174,477,153,746.39/192,763.13
  6. Step 6: Final answer
    x = 905,137.61

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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.