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Finding the Third Proportional to 103,626 and 137,546

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Solution

The third proportional to 103,626 and 137,546 is: 182,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,626 : 137,546 = 137,546 : x
  2. Step 2: Convert to fraction form
    103,626/137,546 = 137,546/x
  3. Step 3: Cross multiply
    103,626x = 137,546 × 137,546
  4. Step 4: Simplify right side
    103,626x = 18,918,902,116
  5. Step 5: Solve for x
    x = 18,918,902,116/103,626
  6. Step 6: Final answer
    x = 182,569.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.