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Finding the Third Proportional to 343,422.75 and 504,843.75

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Solution

The third proportional to 343,422.75 and 504,843.75 is: 742,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,422.75 : 504,843.75 = 504,843.75 : x
  2. Step 2: Convert to fraction form
    343,422.75/504,843.75 = 504,843.75/x
  3. Step 3: Cross multiply
    343,422.75x = 504,843.75 × 504,843.75
  4. Step 4: Simplify right side
    343,422.75x = 254,867,211,914.06
  5. Step 5: Solve for x
    x = 254,867,211,914.06/343,422.75
  6. Step 6: Final answer
    x = 742,138.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.