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Finding the Third Proportional to 121,706 and 262,138

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Solution

The third proportional to 121,706 and 262,138 is: 564,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,706 : 262,138 = 262,138 : x
  2. Step 2: Convert to fraction form
    121,706/262,138 = 262,138/x
  3. Step 3: Cross multiply
    121,706x = 262,138 × 262,138
  4. Step 4: Simplify right side
    121,706x = 68,716,331,044
  5. Step 5: Solve for x
    x = 68,716,331,044/121,706
  6. Step 6: Final answer
    x = 564,609.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.