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Finding the Third Proportional to 108,288 and 260,878

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Solution

The third proportional to 108,288 and 260,878 is: 628,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,288 : 260,878 = 260,878 : x
  2. Step 2: Convert to fraction form
    108,288/260,878 = 260,878/x
  3. Step 3: Cross multiply
    108,288x = 260,878 × 260,878
  4. Step 4: Simplify right side
    108,288x = 68,057,330,884
  5. Step 5: Solve for x
    x = 68,057,330,884/108,288
  6. Step 6: Final answer
    x = 628,484.51

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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.