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Finding the Third Proportional to 203,516 and 299,388

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Solution

The third proportional to 203,516 and 299,388 is: 440,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,516 : 299,388 = 299,388 : x
  2. Step 2: Convert to fraction form
    203,516/299,388 = 299,388/x
  3. Step 3: Cross multiply
    203,516x = 299,388 × 299,388
  4. Step 4: Simplify right side
    203,516x = 89,633,174,544
  5. Step 5: Solve for x
    x = 89,633,174,544/203,516
  6. Step 6: Final answer
    x = 440,423.23

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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.