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Finding the Third Proportional to 121,664 and 188,304

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Solution

The third proportional to 121,664 and 188,304 is: 291,445.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,664 : 188,304 = 188,304 : x
  2. Step 2: Convert to fraction form
    121,664/188,304 = 188,304/x
  3. Step 3: Cross multiply
    121,664x = 188,304 × 188,304
  4. Step 4: Simplify right side
    121,664x = 35,458,396,416
  5. Step 5: Solve for x
    x = 35,458,396,416/121,664
  6. Step 6: Final answer
    x = 291,445.26

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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.