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Finding the Third Proportional to 144,616 and 313,834

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Solution

The third proportional to 144,616 and 313,834 is: 681,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,616 : 313,834 = 313,834 : x
  2. Step 2: Convert to fraction form
    144,616/313,834 = 313,834/x
  3. Step 3: Cross multiply
    144,616x = 313,834 × 313,834
  4. Step 4: Simplify right side
    144,616x = 98,491,779,556
  5. Step 5: Solve for x
    x = 98,491,779,556/144,616
  6. Step 6: Final answer
    x = 681,057.28

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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.