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Finding the Third Proportional to 121,378 and 264,058

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Solution

The third proportional to 121,378 and 264,058 is: 574,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,378 : 264,058 = 264,058 : x
  2. Step 2: Convert to fraction form
    121,378/264,058 = 264,058/x
  3. Step 3: Cross multiply
    121,378x = 264,058 × 264,058
  4. Step 4: Simplify right side
    121,378x = 69,726,627,364
  5. Step 5: Solve for x
    x = 69,726,627,364/121,378
  6. Step 6: Final answer
    x = 574,458.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.