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Finding the Third Proportional to 81,146 and 174,775

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Solution

The third proportional to 81,146 and 174,775 is: 376,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,146 : 174,775 = 174,775 : x
  2. Step 2: Convert to fraction form
    81,146/174,775 = 174,775/x
  3. Step 3: Cross multiply
    81,146x = 174,775 × 174,775
  4. Step 4: Simplify right side
    81,146x = 30,546,300,625
  5. Step 5: Solve for x
    x = 30,546,300,625/81,146
  6. Step 6: Final answer
    x = 376,436.31

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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.