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Finding the Third Proportional to 348,633 and 490,941

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Solution

The third proportional to 348,633 and 490,941 is: 691,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,633 : 490,941 = 490,941 : x
  2. Step 2: Convert to fraction form
    348,633/490,941 = 490,941/x
  3. Step 3: Cross multiply
    348,633x = 490,941 × 490,941
  4. Step 4: Simplify right side
    348,633x = 241,023,065,481
  5. Step 5: Solve for x
    x = 241,023,065,481/348,633
  6. Step 6: Final answer
    x = 691,337.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.