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Finding the Third Proportional to 289,891.50 and 422,241

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Solution

The third proportional to 289,891.50 and 422,241 is: 615,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,891.50 : 422,241 = 422,241 : x
  2. Step 2: Convert to fraction form
    289,891.50/422,241 = 422,241/x
  3. Step 3: Cross multiply
    289,891.50x = 422,241 × 422,241
  4. Step 4: Simplify right side
    289,891.50x = 178,287,462,081
  5. Step 5: Solve for x
    x = 178,287,462,081/289,891.50
  6. Step 6: Final answer
    x = 615,014.45

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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.