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Finding the Third Proportional to 253.13 and 544.88

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Solution

The third proportional to 253.13 and 544.88 is: 1,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.13 : 544.88 = 544.88 : x
  2. Step 2: Convert to fraction form
    253.13/544.88 = 544.88/x
  3. Step 3: Cross multiply
    253.13x = 544.88 × 544.88
  4. Step 4: Simplify right side
    253.13x = 296,888.77
  5. Step 5: Solve for x
    x = 296,888.77/253.13
  6. Step 6: Final answer
    x = 1,172.89

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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.