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Finding the Third Proportional to 248,640 and 381,546

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Solution

The third proportional to 248,640 and 381,546 is: 585,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,640 : 381,546 = 381,546 : x
  2. Step 2: Convert to fraction form
    248,640/381,546 = 381,546/x
  3. Step 3: Cross multiply
    248,640x = 381,546 × 381,546
  4. Step 4: Simplify right side
    248,640x = 145,577,350,116
  5. Step 5: Solve for x
    x = 145,577,350,116/248,640
  6. Step 6: Final answer
    x = 585,494.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.