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Finding the Third Proportional to 665,964 and 1,081,990

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Solution

The third proportional to 665,964 and 1,081,990 is: 1,757,906.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,964 : 1,081,990 = 1,081,990 : x
  2. Step 2: Convert to fraction form
    665,964/1,081,990 = 1,081,990/x
  3. Step 3: Cross multiply
    665,964x = 1,081,990 × 1,081,990
  4. Step 4: Simplify right side
    665,964x = 1,170,702,360,100
  5. Step 5: Solve for x
    x = 1,170,702,360,100/665,964
  6. Step 6: Final answer
    x = 1,757,906.37

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.