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Finding the Third Proportional to 490,866 and 691,083

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Solution

The third proportional to 490,866 and 691,083 is: 972,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,866 : 691,083 = 691,083 : x
  2. Step 2: Convert to fraction form
    490,866/691,083 = 691,083/x
  3. Step 3: Cross multiply
    490,866x = 691,083 × 691,083
  4. Step 4: Simplify right side
    490,866x = 477,595,712,889
  5. Step 5: Solve for x
    x = 477,595,712,889/490,866
  6. Step 6: Final answer
    x = 972,965.56

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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.