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Finding the Third Proportional to 144,745 and 314,247

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Solution

The third proportional to 144,745 and 314,247 is: 682,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,745 : 314,247 = 314,247 : x
  2. Step 2: Convert to fraction form
    144,745/314,247 = 314,247/x
  3. Step 3: Cross multiply
    144,745x = 314,247 × 314,247
  4. Step 4: Simplify right side
    144,745x = 98,751,177,009
  5. Step 5: Solve for x
    x = 98,751,177,009/144,745
  6. Step 6: Final answer
    x = 682,242.41

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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.