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Finding the Third Proportional to 111,266 and 170,787

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Solution

The third proportional to 111,266 and 170,787 is: 262,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,266 : 170,787 = 170,787 : x
  2. Step 2: Convert to fraction form
    111,266/170,787 = 170,787/x
  3. Step 3: Cross multiply
    111,266x = 170,787 × 170,787
  4. Step 4: Simplify right side
    111,266x = 29,168,199,369
  5. Step 5: Solve for x
    x = 29,168,199,369/111,266
  6. Step 6: Final answer
    x = 262,148.36

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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.