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Finding the Third Proportional to 456,950 and 990,166

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Solution

The third proportional to 456,950 and 990,166 is: 2,145,592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,950 : 990,166 = 990,166 : x
  2. Step 2: Convert to fraction form
    456,950/990,166 = 990,166/x
  3. Step 3: Cross multiply
    456,950x = 990,166 × 990,166
  4. Step 4: Simplify right side
    456,950x = 980,428,707,556
  5. Step 5: Solve for x
    x = 980,428,707,556/456,950
  6. Step 6: Final answer
    x = 2,145,592.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.