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Finding the Third Proportional to 257,560 and 393,997

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Solution

The third proportional to 257,560 and 393,997 is: 602,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,560 : 393,997 = 393,997 : x
  2. Step 2: Convert to fraction form
    257,560/393,997 = 393,997/x
  3. Step 3: Cross multiply
    257,560x = 393,997 × 393,997
  4. Step 4: Simplify right side
    257,560x = 155,233,636,009
  5. Step 5: Solve for x
    x = 155,233,636,009/257,560
  6. Step 6: Final answer
    x = 602,708.63

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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.