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Finding the Third Proportional to 221,419 and 341,949

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Solution

The third proportional to 221,419 and 341,949 is: 528,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,419 : 341,949 = 341,949 : x
  2. Step 2: Convert to fraction form
    221,419/341,949 = 341,949/x
  3. Step 3: Cross multiply
    221,419x = 341,949 × 341,949
  4. Step 4: Simplify right side
    221,419x = 116,929,118,601
  5. Step 5: Solve for x
    x = 116,929,118,601/221,419
  6. Step 6: Final answer
    x = 528,089.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.