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Finding the Third Proportional to 178,530 and 276,666

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Solution

The third proportional to 178,530 and 276,666 is: 428,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,530 : 276,666 = 276,666 : x
  2. Step 2: Convert to fraction form
    178,530/276,666 = 276,666/x
  3. Step 3: Cross multiply
    178,530x = 276,666 × 276,666
  4. Step 4: Simplify right side
    178,530x = 76,544,075,556
  5. Step 5: Solve for x
    x = 76,544,075,556/178,530
  6. Step 6: Final answer
    x = 428,746.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.