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Finding the Third Proportional to 180,054 and 388,986

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Solution

The third proportional to 180,054 and 388,986 is: 840,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,054 : 388,986 = 388,986 : x
  2. Step 2: Convert to fraction form
    180,054/388,986 = 388,986/x
  3. Step 3: Cross multiply
    180,054x = 388,986 × 388,986
  4. Step 4: Simplify right side
    180,054x = 151,310,108,196
  5. Step 5: Solve for x
    x = 151,310,108,196/180,054
  6. Step 6: Final answer
    x = 840,359.60

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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.