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Finding the Third Proportional to 284.45 and 365.08

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Solution

The third proportional to 284.45 and 365.08 is: 468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.45 : 365.08 = 365.08 : x
  2. Step 2: Convert to fraction form
    284.45/365.08 = 365.08/x
  3. Step 3: Cross multiply
    284.45x = 365.08 × 365.08
  4. Step 4: Simplify right side
    284.45x = 133,283.46
  5. Step 5: Solve for x
    x = 133,283.46/284.45
  6. Step 6: Final answer
    x = 468.57

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.