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Finding the Third Proportional to 257,367.38 and 393,705.56

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Solution

The third proportional to 257,367.38 and 393,705.56 is: 602,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,367.38 : 393,705.56 = 393,705.56 : x
  2. Step 2: Convert to fraction form
    257,367.38/393,705.56 = 393,705.56/x
  3. Step 3: Cross multiply
    257,367.38x = 393,705.56 × 393,705.56
  4. Step 4: Simplify right side
    257,367.38x = 155,004,069,943.44
  5. Step 5: Solve for x
    x = 155,004,069,943.44/257,367.38
  6. Step 6: Final answer
    x = 602,267.75

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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.