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Finding the Third Proportional to 203,260 and 306,388

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Solution

The third proportional to 203,260 and 306,388 is: 461,840.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,260 : 306,388 = 306,388 : x
  2. Step 2: Convert to fraction form
    203,260/306,388 = 306,388/x
  3. Step 3: Cross multiply
    203,260x = 306,388 × 306,388
  4. Step 4: Simplify right side
    203,260x = 93,873,606,544
  5. Step 5: Solve for x
    x = 93,873,606,544/203,260
  6. Step 6: Final answer
    x = 461,840.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.