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Finding the Third Proportional to 281.06 and 647.91

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Solution

The third proportional to 281.06 and 647.91 is: 1,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.06 : 647.91 = 647.91 : x
  2. Step 2: Convert to fraction form
    281.06/647.91 = 647.91/x
  3. Step 3: Cross multiply
    281.06x = 647.91 × 647.91
  4. Step 4: Simplify right side
    281.06x = 419,782.51
  5. Step 5: Solve for x
    x = 419,782.51/281.06
  6. Step 6: Final answer
    x = 1,493.56

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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.