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Finding the Third Proportional to 144,632 and 313,867

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Solution

The third proportional to 144,632 and 313,867 is: 681,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,632 : 313,867 = 313,867 : x
  2. Step 2: Convert to fraction form
    144,632/313,867 = 313,867/x
  3. Step 3: Cross multiply
    144,632x = 313,867 × 313,867
  4. Step 4: Simplify right side
    144,632x = 98,512,493,689
  5. Step 5: Solve for x
    x = 98,512,493,689/144,632
  6. Step 6: Final answer
    x = 681,125.16

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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.