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Finding the Third Proportional to 257,562 and 393,998

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Solution

The third proportional to 257,562 and 393,998 is: 602,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,562 : 393,998 = 393,998 : x
  2. Step 2: Convert to fraction form
    257,562/393,998 = 393,998/x
  3. Step 3: Cross multiply
    257,562x = 393,998 × 393,998
  4. Step 4: Simplify right side
    257,562x = 155,234,424,004
  5. Step 5: Solve for x
    x = 155,234,424,004/257,562
  6. Step 6: Final answer
    x = 602,707.01

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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.