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Finding the Third Proportional to 284.06 and 428.91

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Solution

The third proportional to 284.06 and 428.91 is: 647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.06 : 428.91 = 428.91 : x
  2. Step 2: Convert to fraction form
    284.06/428.91 = 428.91/x
  3. Step 3: Cross multiply
    284.06x = 428.91 × 428.91
  4. Step 4: Simplify right side
    284.06x = 183,960.57
  5. Step 5: Solve for x
    x = 183,960.57/284.06
  6. Step 6: Final answer
    x = 647.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.