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Finding the Third Proportional to 80,303 and 172,938

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Solution

The third proportional to 80,303 and 172,938 is: 372,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,303 : 172,938 = 172,938 : x
  2. Step 2: Convert to fraction form
    80,303/172,938 = 172,938/x
  3. Step 3: Cross multiply
    80,303x = 172,938 × 172,938
  4. Step 4: Simplify right side
    80,303x = 29,907,551,844
  5. Step 5: Solve for x
    x = 29,907,551,844/80,303
  6. Step 6: Final answer
    x = 372,433.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.