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Finding the Third Proportional to 280.75 and 432.25

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Solution

The third proportional to 280.75 and 432.25 is: 665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.75 : 432.25 = 432.25 : x
  2. Step 2: Convert to fraction form
    280.75/432.25 = 432.25/x
  3. Step 3: Cross multiply
    280.75x = 432.25 × 432.25
  4. Step 4: Simplify right side
    280.75x = 186,840.06
  5. Step 5: Solve for x
    x = 186,840.06/280.75
  6. Step 6: Final answer
    x = 665.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.