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Finding the Third Proportional to 310,068 and 682,992

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Solution

The third proportional to 310,068 and 682,992 is: 1,504,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,068 : 682,992 = 682,992 : x
  2. Step 2: Convert to fraction form
    310,068/682,992 = 682,992/x
  3. Step 3: Cross multiply
    310,068x = 682,992 × 682,992
  4. Step 4: Simplify right side
    310,068x = 466,478,072,064
  5. Step 5: Solve for x
    x = 466,478,072,064/310,068
  6. Step 6: Final answer
    x = 1,504,437.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.