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Finding the Third Proportional to 253.57 and 546.68

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Solution

The third proportional to 253.57 and 546.68 is: 1,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.57 : 546.68 = 546.68 : x
  2. Step 2: Convert to fraction form
    253.57/546.68 = 546.68/x
  3. Step 3: Cross multiply
    253.57x = 546.68 × 546.68
  4. Step 4: Simplify right side
    253.57x = 298,858.68
  5. Step 5: Solve for x
    x = 298,858.68/253.57
  6. Step 6: Final answer
    x = 1,178.60

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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.