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Finding the Third Proportional to 205,530 and 322,865

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Solution

The third proportional to 205,530 and 322,865 is: 507,185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,530 : 322,865 = 322,865 : x
  2. Step 2: Convert to fraction form
    205,530/322,865 = 322,865/x
  3. Step 3: Cross multiply
    205,530x = 322,865 × 322,865
  4. Step 4: Simplify right side
    205,530x = 104,241,808,225
  5. Step 5: Solve for x
    x = 104,241,808,225/205,530
  6. Step 6: Final answer
    x = 507,185.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.