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Finding the Third Proportional to 188,740 and 408,968

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Solution

The third proportional to 188,740 and 408,968 is: 886,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,740 : 408,968 = 408,968 : x
  2. Step 2: Convert to fraction form
    188,740/408,968 = 408,968/x
  3. Step 3: Cross multiply
    188,740x = 408,968 × 408,968
  4. Step 4: Simplify right side
    188,740x = 167,254,825,024
  5. Step 5: Solve for x
    x = 167,254,825,024/188,740
  6. Step 6: Final answer
    x = 886,165.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.