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Finding the Third Proportional to 284.16 and 416.91

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Solution

The third proportional to 284.16 and 416.91 is: 611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.16 : 416.91 = 416.91 : x
  2. Step 2: Convert to fraction form
    284.16/416.91 = 416.91/x
  3. Step 3: Cross multiply
    284.16x = 416.91 × 416.91
  4. Step 4: Simplify right side
    284.16x = 173,810.82
  5. Step 5: Solve for x
    x = 173,810.82/284.16
  6. Step 6: Final answer
    x = 611.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.