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Finding the Third Proportional to 108,265 and 260,821

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Solution

The third proportional to 108,265 and 260,821 is: 628,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,265 : 260,821 = 260,821 : x
  2. Step 2: Convert to fraction form
    108,265/260,821 = 260,821/x
  3. Step 3: Cross multiply
    108,265x = 260,821 × 260,821
  4. Step 4: Simplify right side
    108,265x = 68,027,594,041
  5. Step 5: Solve for x
    x = 68,027,594,041/108,265
  6. Step 6: Final answer
    x = 628,343.36

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.