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Finding the Third Proportional to 306,193.50 and 613,618.88

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Solution

The third proportional to 306,193.50 and 613,618.88 is: 1,229,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,193.50 : 613,618.88 = 613,618.88 : x
  2. Step 2: Convert to fraction form
    306,193.50/613,618.88 = 613,618.88/x
  3. Step 3: Cross multiply
    306,193.50x = 613,618.88 × 613,618.88
  4. Step 4: Simplify right side
    306,193.50x = 376,528,123,756.27
  5. Step 5: Solve for x
    x = 376,528,123,756.27/306,193.50
  6. Step 6: Final answer
    x = 1,229,706.46

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.