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Finding the Third Proportional to 221,419 and 458,595

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Solution

The third proportional to 221,419 and 458,595 is: 949,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,419 : 458,595 = 458,595 : x
  2. Step 2: Convert to fraction form
    221,419/458,595 = 458,595/x
  3. Step 3: Cross multiply
    221,419x = 458,595 × 458,595
  4. Step 4: Simplify right side
    221,419x = 210,309,374,025
  5. Step 5: Solve for x
    x = 210,309,374,025/221,419
  6. Step 6: Final answer
    x = 949,825.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.