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Finding the Third Proportional to 289,894 and 422,244

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Solution

The third proportional to 289,894 and 422,244 is: 615,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,894 : 422,244 = 422,244 : x
  2. Step 2: Convert to fraction form
    289,894/422,244 = 422,244/x
  3. Step 3: Cross multiply
    289,894x = 422,244 × 422,244
  4. Step 4: Simplify right side
    289,894x = 178,289,995,536
  5. Step 5: Solve for x
    x = 178,289,995,536/289,894
  6. Step 6: Final answer
    x = 615,017.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.