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Finding the Third Proportional to 121,474 and 262,916

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Solution

The third proportional to 121,474 and 262,916 is: 569,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,474 : 262,916 = 262,916 : x
  2. Step 2: Convert to fraction form
    121,474/262,916 = 262,916/x
  3. Step 3: Cross multiply
    121,474x = 262,916 × 262,916
  4. Step 4: Simplify right side
    121,474x = 69,124,823,056
  5. Step 5: Solve for x
    x = 69,124,823,056/121,474
  6. Step 6: Final answer
    x = 569,050.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.