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Finding the Third Proportional to 188,988 and 289,989

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Solution

The third proportional to 188,988 and 289,989 is: 444,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,988 : 289,989 = 289,989 : x
  2. Step 2: Convert to fraction form
    188,988/289,989 = 289,989/x
  3. Step 3: Cross multiply
    188,988x = 289,989 × 289,989
  4. Step 4: Simplify right side
    188,988x = 84,093,620,121
  5. Step 5: Solve for x
    x = 84,093,620,121/188,988
  6. Step 6: Final answer
    x = 444,968.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.