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Finding the Third Proportional to 210,319.50 and 305,880

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Solution

The third proportional to 210,319.50 and 305,880 is: 444,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,319.50 : 305,880 = 305,880 : x
  2. Step 2: Convert to fraction form
    210,319.50/305,880 = 305,880/x
  3. Step 3: Cross multiply
    210,319.50x = 305,880 × 305,880
  4. Step 4: Simplify right side
    210,319.50x = 93,562,574,400
  5. Step 5: Solve for x
    x = 93,562,574,400/210,319.50
  6. Step 6: Final answer
    x = 444,859.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.