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Finding the Third Proportional to 180,640 and 389,216

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Solution

The third proportional to 180,640 and 389,216 is: 838,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,640 : 389,216 = 389,216 : x
  2. Step 2: Convert to fraction form
    180,640/389,216 = 389,216/x
  3. Step 3: Cross multiply
    180,640x = 389,216 × 389,216
  4. Step 4: Simplify right side
    180,640x = 151,489,094,656
  5. Step 5: Solve for x
    x = 151,489,094,656/180,640
  6. Step 6: Final answer
    x = 838,624.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.