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Finding the Third Proportional to 453,162 and 987,212

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Solution

The third proportional to 453,162 and 987,212 is: 2,150,638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,162 : 987,212 = 987,212 : x
  2. Step 2: Convert to fraction form
    453,162/987,212 = 987,212/x
  3. Step 3: Cross multiply
    453,162x = 987,212 × 987,212
  4. Step 4: Simplify right side
    453,162x = 974,587,532,944
  5. Step 5: Solve for x
    x = 974,587,532,944/453,162
  6. Step 6: Final answer
    x = 2,150,638.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.