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Finding the Third Proportional to 284.77 and 615.09

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Solution

The third proportional to 284.77 and 615.09 is: 1,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.77 : 615.09 = 615.09 : x
  2. Step 2: Convert to fraction form
    284.77/615.09 = 615.09/x
  3. Step 3: Cross multiply
    284.77x = 615.09 × 615.09
  4. Step 4: Simplify right side
    284.77x = 378,340.32
  5. Step 5: Solve for x
    x = 378,340.32/284.77
  6. Step 6: Final answer
    x = 1,328.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.