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Finding the Third Proportional to 111,017 and 169,289

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Solution

The third proportional to 111,017 and 169,289 is: 258,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,017 : 169,289 = 169,289 : x
  2. Step 2: Convert to fraction form
    111,017/169,289 = 169,289/x
  3. Step 3: Cross multiply
    111,017x = 169,289 × 169,289
  4. Step 4: Simplify right side
    111,017x = 28,658,765,521
  5. Step 5: Solve for x
    x = 28,658,765,521/111,017
  6. Step 6: Final answer
    x = 258,147.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.