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Finding the Third Proportional to 831,986 and 1,284,660

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Solution

The third proportional to 831,986 and 1,284,660 is: 1,983,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,986 : 1,284,660 = 1,284,660 : x
  2. Step 2: Convert to fraction form
    831,986/1,284,660 = 1,284,660/x
  3. Step 3: Cross multiply
    831,986x = 1,284,660 × 1,284,660
  4. Step 4: Simplify right side
    831,986x = 1,650,351,315,600
  5. Step 5: Solve for x
    x = 1,650,351,315,600/831,986
  6. Step 6: Final answer
    x = 1,983,628.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.