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Finding the Third Proportional to 307,811 and 465,807

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Solution

The third proportional to 307,811 and 465,807 is: 704,900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,811 : 465,807 = 465,807 : x
  2. Step 2: Convert to fraction form
    307,811/465,807 = 465,807/x
  3. Step 3: Cross multiply
    307,811x = 465,807 × 465,807
  4. Step 4: Simplify right side
    307,811x = 216,976,161,249
  5. Step 5: Solve for x
    x = 216,976,161,249/307,811
  6. Step 6: Final answer
    x = 704,900.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.