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Finding the Third Proportional to 380,268 and 531,651

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Solution

The third proportional to 380,268 and 531,651 is: 743,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,268 : 531,651 = 531,651 : x
  2. Step 2: Convert to fraction form
    380,268/531,651 = 531,651/x
  3. Step 3: Cross multiply
    380,268x = 531,651 × 531,651
  4. Step 4: Simplify right side
    380,268x = 282,652,785,801
  5. Step 5: Solve for x
    x = 282,652,785,801/380,268
  6. Step 6: Final answer
    x = 743,298.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.