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Finding the Third Proportional to 203,517 and 299,178

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Solution

The third proportional to 203,517 and 299,178 is: 439,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,517 : 299,178 = 299,178 : x
  2. Step 2: Convert to fraction form
    203,517/299,178 = 299,178/x
  3. Step 3: Cross multiply
    203,517x = 299,178 × 299,178
  4. Step 4: Simplify right side
    203,517x = 89,507,475,684
  5. Step 5: Solve for x
    x = 89,507,475,684/203,517
  6. Step 6: Final answer
    x = 439,803.44

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Why These Related Problems?

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