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Finding the Third Proportional to 280.69 and 575.16

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Solution

The third proportional to 280.69 and 575.16 is: 1,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.69 : 575.16 = 575.16 : x
  2. Step 2: Convert to fraction form
    280.69/575.16 = 575.16/x
  3. Step 3: Cross multiply
    280.69x = 575.16 × 575.16
  4. Step 4: Simplify right side
    280.69x = 330,804.71
  5. Step 5: Solve for x
    x = 330,804.71/280.69
  6. Step 6: Final answer
    x = 1,178.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.