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Finding the Third Proportional to 210,085 and 306,100

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Solution

The third proportional to 210,085 and 306,100 is: 445,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,085 : 306,100 = 306,100 : x
  2. Step 2: Convert to fraction form
    210,085/306,100 = 306,100/x
  3. Step 3: Cross multiply
    210,085x = 306,100 × 306,100
  4. Step 4: Simplify right side
    210,085x = 93,697,210,000
  5. Step 5: Solve for x
    x = 93,697,210,000/210,085
  6. Step 6: Final answer
    x = 445,996.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.