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Finding the Third Proportional to 257,380 and 387,960

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Solution

The third proportional to 257,380 and 387,960 is: 584,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,380 : 387,960 = 387,960 : x
  2. Step 2: Convert to fraction form
    257,380/387,960 = 387,960/x
  3. Step 3: Cross multiply
    257,380x = 387,960 × 387,960
  4. Step 4: Simplify right side
    257,380x = 150,512,961,600
  5. Step 5: Solve for x
    x = 150,512,961,600/257,380
  6. Step 6: Final answer
    x = 584,788.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.