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Finding the Third Proportional to 312,598.50 and 682,992

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Solution

The third proportional to 312,598.50 and 682,992 is: 1,492,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,598.50 : 682,992 = 682,992 : x
  2. Step 2: Convert to fraction form
    312,598.50/682,992 = 682,992/x
  3. Step 3: Cross multiply
    312,598.50x = 682,992 × 682,992
  4. Step 4: Simplify right side
    312,598.50x = 466,478,072,064
  5. Step 5: Solve for x
    x = 466,478,072,064/312,598.50
  6. Step 6: Final answer
    x = 1,492,259.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.