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Finding the Third Proportional to 284.75 and 507.25

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Solution

The third proportional to 284.75 and 507.25 is: 903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.75 : 507.25 = 507.25 : x
  2. Step 2: Convert to fraction form
    284.75/507.25 = 507.25/x
  3. Step 3: Cross multiply
    284.75x = 507.25 × 507.25
  4. Step 4: Simplify right side
    284.75x = 257,302.56
  5. Step 5: Solve for x
    x = 257,302.56/284.75
  6. Step 6: Final answer
    x = 903.61

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.