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Finding the Third Proportional to 248,436 and 387,414

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Solution

The third proportional to 248,436 and 387,414 is: 604,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,436 : 387,414 = 387,414 : x
  2. Step 2: Convert to fraction form
    248,436/387,414 = 387,414/x
  3. Step 3: Cross multiply
    248,436x = 387,414 × 387,414
  4. Step 4: Simplify right side
    248,436x = 150,089,607,396
  5. Step 5: Solve for x
    x = 150,089,607,396/248,436
  6. Step 6: Final answer
    x = 604,137.92

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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.