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Finding the Third Proportional to 312,652 and 659,755

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Solution

The third proportional to 312,652 and 659,755 is: 1,392,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,652 : 659,755 = 659,755 : x
  2. Step 2: Convert to fraction form
    312,652/659,755 = 659,755/x
  3. Step 3: Cross multiply
    312,652x = 659,755 × 659,755
  4. Step 4: Simplify right side
    312,652x = 435,276,660,025
  5. Step 5: Solve for x
    x = 435,276,660,025/312,652
  6. Step 6: Final answer
    x = 1,392,208.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.