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Finding the Third Proportional to 303,078 and 465,990

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Solution

The third proportional to 303,078 and 465,990 is: 716,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,078 : 465,990 = 465,990 : x
  2. Step 2: Convert to fraction form
    303,078/465,990 = 465,990/x
  3. Step 3: Cross multiply
    303,078x = 465,990 × 465,990
  4. Step 4: Simplify right side
    303,078x = 217,146,680,100
  5. Step 5: Solve for x
    x = 217,146,680,100/303,078
  6. Step 6: Final answer
    x = 716,471.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.