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Finding the Third Proportional to 317,512 and 681,064

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Solution

The third proportional to 317,512 and 681,064 is: 1,460,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,512 : 681,064 = 681,064 : x
  2. Step 2: Convert to fraction form
    317,512/681,064 = 681,064/x
  3. Step 3: Cross multiply
    317,512x = 681,064 × 681,064
  4. Step 4: Simplify right side
    317,512x = 463,848,172,096
  5. Step 5: Solve for x
    x = 463,848,172,096/317,512
  6. Step 6: Final answer
    x = 1,460,883.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.