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Finding the Third Proportional to 257,557.50 and 393,993

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Solution

The third proportional to 257,557.50 and 393,993 is: 602,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,557.50 : 393,993 = 393,993 : x
  2. Step 2: Convert to fraction form
    257,557.50/393,993 = 393,993/x
  3. Step 3: Cross multiply
    257,557.50x = 393,993 × 393,993
  4. Step 4: Simplify right side
    257,557.50x = 155,230,484,049
  5. Step 5: Solve for x
    x = 155,230,484,049/257,557.50
  6. Step 6: Final answer
    x = 602,702.25

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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.