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Finding the Third Proportional to 108,278 and 166,643

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Solution

The third proportional to 108,278 and 166,643 is: 256,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,278 : 166,643 = 166,643 : x
  2. Step 2: Convert to fraction form
    108,278/166,643 = 166,643/x
  3. Step 3: Cross multiply
    108,278x = 166,643 × 166,643
  4. Step 4: Simplify right side
    108,278x = 27,769,889,449
  5. Step 5: Solve for x
    x = 27,769,889,449/108,278
  6. Step 6: Final answer
    x = 256,468.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.