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Finding the Third Proportional to 310,722 and 662,116

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Solution

The third proportional to 310,722 and 662,116 is: 1,410,899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,722 : 662,116 = 662,116 : x
  2. Step 2: Convert to fraction form
    310,722/662,116 = 662,116/x
  3. Step 3: Cross multiply
    310,722x = 662,116 × 662,116
  4. Step 4: Simplify right side
    310,722x = 438,397,597,456
  5. Step 5: Solve for x
    x = 438,397,597,456/310,722
  6. Step 6: Final answer
    x = 1,410,899.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.