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Finding the Third Proportional to 180,010 and 388,895

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Solution

The third proportional to 180,010 and 388,895 is: 840,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,010 : 388,895 = 388,895 : x
  2. Step 2: Convert to fraction form
    180,010/388,895 = 388,895/x
  3. Step 3: Cross multiply
    180,010x = 388,895 × 388,895
  4. Step 4: Simplify right side
    180,010x = 151,239,321,025
  5. Step 5: Solve for x
    x = 151,239,321,025/180,010
  6. Step 6: Final answer
    x = 840,171.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.