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Finding the Third Proportional to 108,718 and 166,319

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Solution

The third proportional to 108,718 and 166,319 is: 254,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,718 : 166,319 = 166,319 : x
  2. Step 2: Convert to fraction form
    108,718/166,319 = 166,319/x
  3. Step 3: Cross multiply
    108,718x = 166,319 × 166,319
  4. Step 4: Simplify right side
    108,718x = 27,662,009,761
  5. Step 5: Solve for x
    x = 27,662,009,761/108,718
  6. Step 6: Final answer
    x = 254,438.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.