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Finding the Third Proportional to 121,668 and 188,310

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Solution

The third proportional to 121,668 and 188,310 is: 291,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,668 : 188,310 = 188,310 : x
  2. Step 2: Convert to fraction form
    121,668/188,310 = 188,310/x
  3. Step 3: Cross multiply
    121,668x = 188,310 × 188,310
  4. Step 4: Simplify right side
    121,668x = 35,460,656,100
  5. Step 5: Solve for x
    x = 35,460,656,100/121,668
  6. Step 6: Final answer
    x = 291,454.25

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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.