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Finding the Third Proportional to 270,511 and 422,143

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Solution

The third proportional to 270,511 and 422,143 is: 658,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,511 : 422,143 = 422,143 : x
  2. Step 2: Convert to fraction form
    270,511/422,143 = 422,143/x
  3. Step 3: Cross multiply
    270,511x = 422,143 × 422,143
  4. Step 4: Simplify right side
    270,511x = 178,204,712,449
  5. Step 5: Solve for x
    x = 178,204,712,449/270,511
  6. Step 6: Final answer
    x = 658,770.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.