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Finding the Third Proportional to 284.63 and 428.34

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Solution

The third proportional to 284.63 and 428.34 is: 644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.63 : 428.34 = 428.34 : x
  2. Step 2: Convert to fraction form
    284.63/428.34 = 428.34/x
  3. Step 3: Cross multiply
    284.63x = 428.34 × 428.34
  4. Step 4: Simplify right side
    284.63x = 183,478.37
  5. Step 5: Solve for x
    x = 183,478.37/284.63
  6. Step 6: Final answer
    x = 644.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.