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Finding the Third Proportional to 122,306 and 188,355

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Solution

The third proportional to 122,306 and 188,355 is: 290,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,306 : 188,355 = 188,355 : x
  2. Step 2: Convert to fraction form
    122,306/188,355 = 188,355/x
  3. Step 3: Cross multiply
    122,306x = 188,355 × 188,355
  4. Step 4: Simplify right side
    122,306x = 35,477,606,025
  5. Step 5: Solve for x
    x = 35,477,606,025/122,306
  6. Step 6: Final answer
    x = 290,072.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.