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Finding the Third Proportional to 405,112 and 873,026

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Solution

The third proportional to 405,112 and 873,026 is: 1,881,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,112 : 873,026 = 873,026 : x
  2. Step 2: Convert to fraction form
    405,112/873,026 = 873,026/x
  3. Step 3: Cross multiply
    405,112x = 873,026 × 873,026
  4. Step 4: Simplify right side
    405,112x = 762,174,396,676
  5. Step 5: Solve for x
    x = 762,174,396,676/405,112
  6. Step 6: Final answer
    x = 1,881,391.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.