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Finding the Third Proportional to 121,278 and 257,898

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Solution

The third proportional to 121,278 and 257,898 is: 548,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,278 : 257,898 = 257,898 : x
  2. Step 2: Convert to fraction form
    121,278/257,898 = 257,898/x
  3. Step 3: Cross multiply
    121,278x = 257,898 × 257,898
  4. Step 4: Simplify right side
    121,278x = 66,511,378,404
  5. Step 5: Solve for x
    x = 66,511,378,404/121,278
  6. Step 6: Final answer
    x = 548,420.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.