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Finding the Third Proportional to 121,158 and 247,260

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Solution

The third proportional to 121,158 and 247,260 is: 504,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,158 : 247,260 = 247,260 : x
  2. Step 2: Convert to fraction form
    121,158/247,260 = 247,260/x
  3. Step 3: Cross multiply
    121,158x = 247,260 × 247,260
  4. Step 4: Simplify right side
    121,158x = 61,137,507,600
  5. Step 5: Solve for x
    x = 61,137,507,600/121,158
  6. Step 6: Final answer
    x = 504,609.75

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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.