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Finding the Third Proportional to 203,560 and 299,420

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Solution

The third proportional to 203,560 and 299,420 is: 440,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,560 : 299,420 = 299,420 : x
  2. Step 2: Convert to fraction form
    203,560/299,420 = 299,420/x
  3. Step 3: Cross multiply
    203,560x = 299,420 × 299,420
  4. Step 4: Simplify right side
    203,560x = 89,652,336,400
  5. Step 5: Solve for x
    x = 89,652,336,400/203,560
  6. Step 6: Final answer
    x = 440,422.17

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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.