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Finding the Third Proportional to 311,680 and 444,168

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Solution

The third proportional to 311,680 and 444,168 is: 632,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,680 : 444,168 = 444,168 : x
  2. Step 2: Convert to fraction form
    311,680/444,168 = 444,168/x
  3. Step 3: Cross multiply
    311,680x = 444,168 × 444,168
  4. Step 4: Simplify right side
    311,680x = 197,285,212,224
  5. Step 5: Solve for x
    x = 197,285,212,224/311,680
  6. Step 6: Final answer
    x = 632,973.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.