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Finding the Third Proportional to 111,690 and 239,148

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Solution

The third proportional to 111,690 and 239,148 is: 512,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,690 : 239,148 = 239,148 : x
  2. Step 2: Convert to fraction form
    111,690/239,148 = 239,148/x
  3. Step 3: Cross multiply
    111,690x = 239,148 × 239,148
  4. Step 4: Simplify right side
    111,690x = 57,191,765,904
  5. Step 5: Solve for x
    x = 57,191,765,904/111,690
  6. Step 6: Final answer
    x = 512,058.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.