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Finding the Third Proportional to 235.75 and 487.63

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Solution

The third proportional to 235.75 and 487.63 is: 1,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.75 : 487.63 = 487.63 : x
  2. Step 2: Convert to fraction form
    235.75/487.63 = 487.63/x
  3. Step 3: Cross multiply
    235.75x = 487.63 × 487.63
  4. Step 4: Simplify right side
    235.75x = 237,778.14
  5. Step 5: Solve for x
    x = 237,778.14/235.75
  6. Step 6: Final answer
    x = 1,008.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.