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Finding the Third Proportional to 682.31 and 1,472.06

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Solution

The third proportional to 682.31 and 1,472.06 is: 3,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.31 : 1,472.06 = 1,472.06 : x
  2. Step 2: Convert to fraction form
    682.31/1,472.06 = 1,472.06/x
  3. Step 3: Cross multiply
    682.31x = 1,472.06 × 1,472.06
  4. Step 4: Simplify right side
    682.31x = 2,166,968.00
  5. Step 5: Solve for x
    x = 2,166,968.00/682.31
  6. Step 6: Final answer
    x = 3,175.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.