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Finding the Third Proportional to 831,170 and 1,215,651

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Solution

The third proportional to 831,170 and 1,215,651 is: 1,777,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,170 : 1,215,651 = 1,215,651 : x
  2. Step 2: Convert to fraction form
    831,170/1,215,651 = 1,215,651/x
  3. Step 3: Cross multiply
    831,170x = 1,215,651 × 1,215,651
  4. Step 4: Simplify right side
    831,170x = 1,477,807,353,801
  5. Step 5: Solve for x
    x = 1,477,807,353,801/831,170
  6. Step 6: Final answer
    x = 1,777,984.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.