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Finding the Third Proportional to 121,076 and 247,079

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Solution

The third proportional to 121,076 and 247,079 is: 504,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,076 : 247,079 = 247,079 : x
  2. Step 2: Convert to fraction form
    121,076/247,079 = 247,079/x
  3. Step 3: Cross multiply
    121,076x = 247,079 × 247,079
  4. Step 4: Simplify right side
    121,076x = 61,048,032,241
  5. Step 5: Solve for x
    x = 61,048,032,241/121,076
  6. Step 6: Final answer
    x = 504,212.50

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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.