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Finding the Third Proportional to 111,415 and 230,209

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Solution

The third proportional to 111,415 and 230,209 is: 475,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,415 : 230,209 = 230,209 : x
  2. Step 2: Convert to fraction form
    111,415/230,209 = 230,209/x
  3. Step 3: Cross multiply
    111,415x = 230,209 × 230,209
  4. Step 4: Simplify right side
    111,415x = 52,996,183,681
  5. Step 5: Solve for x
    x = 52,996,183,681/111,415
  6. Step 6: Final answer
    x = 475,664.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.