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Finding the Third Proportional to 247,104 and 335,610

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Solution

The third proportional to 247,104 and 335,610 is: 455,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,104 : 335,610 = 335,610 : x
  2. Step 2: Convert to fraction form
    247,104/335,610 = 335,610/x
  3. Step 3: Cross multiply
    247,104x = 335,610 × 335,610
  4. Step 4: Simplify right side
    247,104x = 112,634,072,100
  5. Step 5: Solve for x
    x = 112,634,072,100/247,104
  6. Step 6: Final answer
    x = 455,816.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.