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Finding the Third Proportional to 248,456 and 387,444

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Solution

The third proportional to 248,456 and 387,444 is: 604,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,456 : 387,444 = 387,444 : x
  2. Step 2: Convert to fraction form
    248,456/387,444 = 387,444/x
  3. Step 3: Cross multiply
    248,456x = 387,444 × 387,444
  4. Step 4: Simplify right side
    248,456x = 150,112,853,136
  5. Step 5: Solve for x
    x = 150,112,853,136/248,456
  6. Step 6: Final answer
    x = 604,182.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.