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Finding the Third Proportional to 203,878 and 299,808

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Solution

The third proportional to 203,878 and 299,808 is: 440,875.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,878 : 299,808 = 299,808 : x
  2. Step 2: Convert to fraction form
    203,878/299,808 = 299,808/x
  3. Step 3: Cross multiply
    203,878x = 299,808 × 299,808
  4. Step 4: Simplify right side
    203,878x = 89,884,836,864
  5. Step 5: Solve for x
    x = 89,884,836,864/203,878
  6. Step 6: Final answer
    x = 440,875.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.