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Finding the Third Proportional to 380,083 and 826,321

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Solution

The third proportional to 380,083 and 826,321 is: 1,796,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,083 : 826,321 = 826,321 : x
  2. Step 2: Convert to fraction form
    380,083/826,321 = 826,321/x
  3. Step 3: Cross multiply
    380,083x = 826,321 × 826,321
  4. Step 4: Simplify right side
    380,083x = 682,806,395,041
  5. Step 5: Solve for x
    x = 682,806,395,041/380,083
  6. Step 6: Final answer
    x = 1,796,466.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.