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Finding the Third Proportional to 171,120 and 353,080

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Solution

The third proportional to 171,120 and 353,080 is: 728,526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,120 : 353,080 = 353,080 : x
  2. Step 2: Convert to fraction form
    171,120/353,080 = 353,080/x
  3. Step 3: Cross multiply
    171,120x = 353,080 × 353,080
  4. Step 4: Simplify right side
    171,120x = 124,665,486,400
  5. Step 5: Solve for x
    x = 124,665,486,400/171,120
  6. Step 6: Final answer
    x = 728,526.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.