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Finding the Third Proportional to 290,256 and 682,980

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Solution

The third proportional to 290,256 and 682,980 is: 1,607,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,256 : 682,980 = 682,980 : x
  2. Step 2: Convert to fraction form
    290,256/682,980 = 682,980/x
  3. Step 3: Cross multiply
    290,256x = 682,980 × 682,980
  4. Step 4: Simplify right side
    290,256x = 466,461,680,400
  5. Step 5: Solve for x
    x = 466,461,680,400/290,256
  6. Step 6: Final answer
    x = 1,607,069.90

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.