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Finding the Third Proportional to 257,556.38 and 393,990.75

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Solution

The third proportional to 257,556.38 and 393,990.75 is: 602,698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,556.38 : 393,990.75 = 393,990.75 : x
  2. Step 2: Convert to fraction form
    257,556.38/393,990.75 = 393,990.75/x
  3. Step 3: Cross multiply
    257,556.38x = 393,990.75 × 393,990.75
  4. Step 4: Simplify right side
    257,556.38x = 155,228,711,085.56
  5. Step 5: Solve for x
    x = 155,228,711,085.56/257,556.38
  6. Step 6: Final answer
    x = 602,698.00

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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.