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Finding the Third Proportional to 121,472 and 262,912

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Solution

The third proportional to 121,472 and 262,912 is: 569,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,472 : 262,912 = 262,912 : x
  2. Step 2: Convert to fraction form
    121,472/262,912 = 262,912/x
  3. Step 3: Cross multiply
    121,472x = 262,912 × 262,912
  4. Step 4: Simplify right side
    121,472x = 69,122,719,744
  5. Step 5: Solve for x
    x = 69,122,719,744/121,472
  6. Step 6: Final answer
    x = 569,042.41

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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.