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Finding the Third Proportional to 140,812 and 312,728

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Solution

The third proportional to 140,812 and 312,728 is: 694,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,812 : 312,728 = 312,728 : x
  2. Step 2: Convert to fraction form
    140,812/312,728 = 312,728/x
  3. Step 3: Cross multiply
    140,812x = 312,728 × 312,728
  4. Step 4: Simplify right side
    140,812x = 97,798,801,984
  5. Step 5: Solve for x
    x = 97,798,801,984/140,812
  6. Step 6: Final answer
    x = 694,534.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.