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Finding the Third Proportional to 121,078 and 247,502

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Solution

The third proportional to 121,078 and 247,502 is: 505,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,078 : 247,502 = 247,502 : x
  2. Step 2: Convert to fraction form
    121,078/247,502 = 247,502/x
  3. Step 3: Cross multiply
    121,078x = 247,502 × 247,502
  4. Step 4: Simplify right side
    121,078x = 61,257,240,004
  5. Step 5: Solve for x
    x = 61,257,240,004/121,078
  6. Step 6: Final answer
    x = 505,932.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.