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Finding the Third Proportional to 284,400 and 612,156

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Solution

The third proportional to 284,400 and 612,156 is: 1,317,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,400 : 612,156 = 612,156 : x
  2. Step 2: Convert to fraction form
    284,400/612,156 = 612,156/x
  3. Step 3: Cross multiply
    284,400x = 612,156 × 612,156
  4. Step 4: Simplify right side
    284,400x = 374,734,968,336
  5. Step 5: Solve for x
    x = 374,734,968,336/284,400
  6. Step 6: Final answer
    x = 1,317,633.50

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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.