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Finding the Third Proportional to 281,947 and 619,971

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Solution

The third proportional to 281,947 and 619,971 is: 1,363,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,947 : 619,971 = 619,971 : x
  2. Step 2: Convert to fraction form
    281,947/619,971 = 619,971/x
  3. Step 3: Cross multiply
    281,947x = 619,971 × 619,971
  4. Step 4: Simplify right side
    281,947x = 384,364,040,841
  5. Step 5: Solve for x
    x = 384,364,040,841/281,947
  6. Step 6: Final answer
    x = 1,363,249.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.