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Finding the Third Proportional to 253.48 and 544.93

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Solution

The third proportional to 253.48 and 544.93 is: 1,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.48 : 544.93 = 544.93 : x
  2. Step 2: Convert to fraction form
    253.48/544.93 = 544.93/x
  3. Step 3: Cross multiply
    253.48x = 544.93 × 544.93
  4. Step 4: Simplify right side
    253.48x = 296,949.43
  5. Step 5: Solve for x
    x = 296,949.43/253.48
  6. Step 6: Final answer
    x = 1,171.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.