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Finding the Third Proportional to 109.44 and 253.06

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Solution

The third proportional to 109.44 and 253.06 is: 585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.44 : 253.06 = 253.06 : x
  2. Step 2: Convert to fraction form
    109.44/253.06 = 253.06/x
  3. Step 3: Cross multiply
    109.44x = 253.06 × 253.06
  4. Step 4: Simplify right side
    109.44x = 64,040.63
  5. Step 5: Solve for x
    x = 64,040.63/109.44
  6. Step 6: Final answer
    x = 585.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.