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Finding the Third Proportional to 284.06 and 438.56

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Solution

The third proportional to 284.06 and 438.56 is: 677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.06 : 438.56 = 438.56 : x
  2. Step 2: Convert to fraction form
    284.06/438.56 = 438.56/x
  3. Step 3: Cross multiply
    284.06x = 438.56 × 438.56
  4. Step 4: Simplify right side
    284.06x = 192,337.07
  5. Step 5: Solve for x
    x = 192,337.07/284.06
  6. Step 6: Final answer
    x = 677.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.