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Finding the Third Proportional to 223,986 and 322,731

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Solution

The third proportional to 223,986 and 322,731 is: 465,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,986 : 322,731 = 322,731 : x
  2. Step 2: Convert to fraction form
    223,986/322,731 = 322,731/x
  3. Step 3: Cross multiply
    223,986x = 322,731 × 322,731
  4. Step 4: Simplify right side
    223,986x = 104,155,298,361
  5. Step 5: Solve for x
    x = 104,155,298,361/223,986
  6. Step 6: Final answer
    x = 465,008.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.