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Finding the Third Proportional to 111,065 and 239,861

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Solution

The third proportional to 111,065 and 239,861 is: 518,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,065 : 239,861 = 239,861 : x
  2. Step 2: Convert to fraction form
    111,065/239,861 = 239,861/x
  3. Step 3: Cross multiply
    111,065x = 239,861 × 239,861
  4. Step 4: Simplify right side
    111,065x = 57,533,299,321
  5. Step 5: Solve for x
    x = 57,533,299,321/111,065
  6. Step 6: Final answer
    x = 518,014.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.