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Finding the Third Proportional to 117,270 and 276,556

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Solution

The third proportional to 117,270 and 276,556 is: 652,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,270 : 276,556 = 276,556 : x
  2. Step 2: Convert to fraction form
    117,270/276,556 = 276,556/x
  3. Step 3: Cross multiply
    117,270x = 276,556 × 276,556
  4. Step 4: Simplify right side
    117,270x = 76,483,221,136
  5. Step 5: Solve for x
    x = 76,483,221,136/117,270
  6. Step 6: Final answer
    x = 652,197.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.