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Finding the Third Proportional to 180,012 and 388,899

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Solution

The third proportional to 180,012 and 388,899 is: 840,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,012 : 388,899 = 388,899 : x
  2. Step 2: Convert to fraction form
    180,012/388,899 = 388,899/x
  3. Step 3: Cross multiply
    180,012x = 388,899 × 388,899
  4. Step 4: Simplify right side
    180,012x = 151,242,432,201
  5. Step 5: Solve for x
    x = 151,242,432,201/180,012
  6. Step 6: Final answer
    x = 840,179.72

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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.