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Finding the Third Proportional to 306,706.50 and 628,711.88

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Solution

The third proportional to 306,706.50 and 628,711.88 is: 1,288,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,706.50 : 628,711.88 = 628,711.88 : x
  2. Step 2: Convert to fraction form
    306,706.50/628,711.88 = 628,711.88/x
  3. Step 3: Cross multiply
    306,706.50x = 628,711.88 × 628,711.88
  4. Step 4: Simplify right side
    306,706.50x = 395,278,621,766.02
  5. Step 5: Solve for x
    x = 395,278,621,766.02/306,706.50
  6. Step 6: Final answer
    x = 1,288,784.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.