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Finding the Third Proportional to 111,872 and 170,724

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Solution

The third proportional to 111,872 and 170,724 is: 260,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,872 : 170,724 = 170,724 : x
  2. Step 2: Convert to fraction form
    111,872/170,724 = 170,724/x
  3. Step 3: Cross multiply
    111,872x = 170,724 × 170,724
  4. Step 4: Simplify right side
    111,872x = 29,146,684,176
  5. Step 5: Solve for x
    x = 29,146,684,176/111,872
  6. Step 6: Final answer
    x = 260,536.01

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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.