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Finding the Third Proportional to 135,208 and 293,668

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Solution

The third proportional to 135,208 and 293,668 is: 637,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,208 : 293,668 = 293,668 : x
  2. Step 2: Convert to fraction form
    135,208/293,668 = 293,668/x
  3. Step 3: Cross multiply
    135,208x = 293,668 × 293,668
  4. Step 4: Simplify right side
    135,208x = 86,240,894,224
  5. Step 5: Solve for x
    x = 86,240,894,224/135,208
  6. Step 6: Final answer
    x = 637,838.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.