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Finding the Third Proportional to 318,140 and 681,821

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Solution

The third proportional to 318,140 and 681,821 is: 1,461,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,140 : 681,821 = 681,821 : x
  2. Step 2: Convert to fraction form
    318,140/681,821 = 681,821/x
  3. Step 3: Cross multiply
    318,140x = 681,821 × 681,821
  4. Step 4: Simplify right side
    318,140x = 464,879,876,041
  5. Step 5: Solve for x
    x = 464,879,876,041/318,140
  6. Step 6: Final answer
    x = 1,461,243.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.