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Finding the Third Proportional to 280.75 and 430.88

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Solution

The third proportional to 280.75 and 430.88 is: 661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.75 : 430.88 = 430.88 : x
  2. Step 2: Convert to fraction form
    280.75/430.88 = 430.88/x
  3. Step 3: Cross multiply
    280.75x = 430.88 × 430.88
  4. Step 4: Simplify right side
    280.75x = 185,653.27
  5. Step 5: Solve for x
    x = 185,653.27/280.75
  6. Step 6: Final answer
    x = 661.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.