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Finding the Third Proportional to 283,200 and 612,288

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Solution

The third proportional to 283,200 and 612,288 is: 1,323,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,200 : 612,288 = 612,288 : x
  2. Step 2: Convert to fraction form
    283,200/612,288 = 612,288/x
  3. Step 3: Cross multiply
    283,200x = 612,288 × 612,288
  4. Step 4: Simplify right side
    283,200x = 374,896,594,944
  5. Step 5: Solve for x
    x = 374,896,594,944/283,200
  6. Step 6: Final answer
    x = 1,323,787.41

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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.