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Finding the Third Proportional to 289,422 and 447,254

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Solution

The third proportional to 289,422 and 447,254 is: 691,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,422 : 447,254 = 447,254 : x
  2. Step 2: Convert to fraction form
    289,422/447,254 = 447,254/x
  3. Step 3: Cross multiply
    289,422x = 447,254 × 447,254
  4. Step 4: Simplify right side
    289,422x = 200,036,140,516
  5. Step 5: Solve for x
    x = 200,036,140,516/289,422
  6. Step 6: Final answer
    x = 691,157.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.