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Finding the Third Proportional to 178,508 and 276,556

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Solution

The third proportional to 178,508 and 276,556 is: 428,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,508 : 276,556 = 276,556 : x
  2. Step 2: Convert to fraction form
    178,508/276,556 = 276,556/x
  3. Step 3: Cross multiply
    178,508x = 276,556 × 276,556
  4. Step 4: Simplify right side
    178,508x = 76,483,221,136
  5. Step 5: Solve for x
    x = 76,483,221,136/178,508
  6. Step 6: Final answer
    x = 428,458.23

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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.