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Finding the Third Proportional to 103,603 and 146,236

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Solution

The third proportional to 103,603 and 146,236 is: 206,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,603 : 146,236 = 146,236 : x
  2. Step 2: Convert to fraction form
    103,603/146,236 = 146,236/x
  3. Step 3: Cross multiply
    103,603x = 146,236 × 146,236
  4. Step 4: Simplify right side
    103,603x = 21,384,967,696
  5. Step 5: Solve for x
    x = 21,384,967,696/103,603
  6. Step 6: Final answer
    x = 206,412.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.