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Finding the Third Proportional to 121,911 and 188,388

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Solution

The third proportional to 121,911 and 188,388 is: 291,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,911 : 188,388 = 188,388 : x
  2. Step 2: Convert to fraction form
    121,911/188,388 = 188,388/x
  3. Step 3: Cross multiply
    121,911x = 188,388 × 188,388
  4. Step 4: Simplify right side
    121,911x = 35,490,038,544
  5. Step 5: Solve for x
    x = 35,490,038,544/121,911
  6. Step 6: Final answer
    x = 291,114.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.