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Finding the Third Proportional to 290,255 and 682,977

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Solution

The third proportional to 290,255 and 682,977 is: 1,607,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,255 : 682,977 = 682,977 : x
  2. Step 2: Convert to fraction form
    290,255/682,977 = 682,977/x
  3. Step 3: Cross multiply
    290,255x = 682,977 × 682,977
  4. Step 4: Simplify right side
    290,255x = 466,457,582,529
  5. Step 5: Solve for x
    x = 466,457,582,529/290,255
  6. Step 6: Final answer
    x = 1,607,061.32

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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.