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Finding the Third Proportional to 121,411 and 247,640

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Solution

The third proportional to 121,411 and 247,640 is: 505,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,411 : 247,640 = 247,640 : x
  2. Step 2: Convert to fraction form
    121,411/247,640 = 247,640/x
  3. Step 3: Cross multiply
    121,411x = 247,640 × 247,640
  4. Step 4: Simplify right side
    121,411x = 61,325,569,600
  5. Step 5: Solve for x
    x = 61,325,569,600/121,411
  6. Step 6: Final answer
    x = 505,107.19

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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.