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Finding the Third Proportional to 108,612 and 168,173

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Solution

The third proportional to 108,612 and 168,173 is: 260,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,612 : 168,173 = 168,173 : x
  2. Step 2: Convert to fraction form
    108,612/168,173 = 168,173/x
  3. Step 3: Cross multiply
    108,612x = 168,173 × 168,173
  4. Step 4: Simplify right side
    108,612x = 28,282,157,929
  5. Step 5: Solve for x
    x = 28,282,157,929/108,612
  6. Step 6: Final answer
    x = 260,396.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.