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Finding the Third Proportional to 293,091.75 and 638,853.75

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Solution

The third proportional to 293,091.75 and 638,853.75 is: 1,392,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,091.75 : 638,853.75 = 638,853.75 : x
  2. Step 2: Convert to fraction form
    293,091.75/638,853.75 = 638,853.75/x
  3. Step 3: Cross multiply
    293,091.75x = 638,853.75 × 638,853.75
  4. Step 4: Simplify right side
    293,091.75x = 408,134,113,889.06
  5. Step 5: Solve for x
    x = 408,134,113,889.06/293,091.75
  6. Step 6: Final answer
    x = 1,392,513.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.