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Finding the Third Proportional to 144,635 and 314,149

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Solution

The third proportional to 144,635 and 314,149 is: 682,335.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,635 : 314,149 = 314,149 : x
  2. Step 2: Convert to fraction form
    144,635/314,149 = 314,149/x
  3. Step 3: Cross multiply
    144,635x = 314,149 × 314,149
  4. Step 4: Simplify right side
    144,635x = 98,689,594,201
  5. Step 5: Solve for x
    x = 98,689,594,201/144,635
  6. Step 6: Final answer
    x = 682,335.49

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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.