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Finding the Third Proportional to 831,000 and 1,188,288

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Solution

The third proportional to 831,000 and 1,188,288 is: 1,699,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,000 : 1,188,288 = 1,188,288 : x
  2. Step 2: Convert to fraction form
    831,000/1,188,288 = 1,188,288/x
  3. Step 3: Cross multiply
    831,000x = 1,188,288 × 1,188,288
  4. Step 4: Simplify right side
    831,000x = 1,412,028,370,944
  5. Step 5: Solve for x
    x = 1,412,028,370,944/831,000
  6. Step 6: Final answer
    x = 1,699,191.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.