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Finding the Third Proportional to 257,409 and 393,774

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Solution

The third proportional to 257,409 and 393,774 is: 602,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,409 : 393,774 = 393,774 : x
  2. Step 2: Convert to fraction form
    257,409/393,774 = 393,774/x
  3. Step 3: Cross multiply
    257,409x = 393,774 × 393,774
  4. Step 4: Simplify right side
    257,409x = 155,057,963,076
  5. Step 5: Solve for x
    x = 155,057,963,076/257,409
  6. Step 6: Final answer
    x = 602,379.73

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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.