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Finding the Third Proportional to 180,320 and 387,216

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Solution

The third proportional to 180,320 and 387,216 is: 831,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,320 : 387,216 = 387,216 : x
  2. Step 2: Convert to fraction form
    180,320/387,216 = 387,216/x
  3. Step 3: Cross multiply
    180,320x = 387,216 × 387,216
  4. Step 4: Simplify right side
    180,320x = 149,936,230,656
  5. Step 5: Solve for x
    x = 149,936,230,656/180,320
  6. Step 6: Final answer
    x = 831,500.84

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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.