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Finding the Third Proportional to 212,466.50 and 489,301

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Solution

The third proportional to 212,466.50 and 489,301 is: 1,126,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,466.50 : 489,301 = 489,301 : x
  2. Step 2: Convert to fraction form
    212,466.50/489,301 = 489,301/x
  3. Step 3: Cross multiply
    212,466.50x = 489,301 × 489,301
  4. Step 4: Simplify right side
    212,466.50x = 239,415,468,601
  5. Step 5: Solve for x
    x = 239,415,468,601/212,466.50
  6. Step 6: Final answer
    x = 1,126,838.67

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.