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Finding the Third Proportional to 253.41 and 554.06

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Solution

The third proportional to 253.41 and 554.06 is: 1,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.41 : 554.06 = 554.06 : x
  2. Step 2: Convert to fraction form
    253.41/554.06 = 554.06/x
  3. Step 3: Cross multiply
    253.41x = 554.06 × 554.06
  4. Step 4: Simplify right side
    253.41x = 306,985.25
  5. Step 5: Solve for x
    x = 306,985.25/253.41
  6. Step 6: Final answer
    x = 1,211.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.