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Finding the Third Proportional to 281.81 and 425.06

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Solution

The third proportional to 281.81 and 425.06 is: 641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.81 : 425.06 = 425.06 : x
  2. Step 2: Convert to fraction form
    281.81/425.06 = 425.06/x
  3. Step 3: Cross multiply
    281.81x = 425.06 × 425.06
  4. Step 4: Simplify right side
    281.81x = 180,678.13
  5. Step 5: Solve for x
    x = 180,678.13/281.81
  6. Step 6: Final answer
    x = 641.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.