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Finding the Third Proportional to 207.56 and 448.31

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Solution

The third proportional to 207.56 and 448.31 is: 968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.56 : 448.31 = 448.31 : x
  2. Step 2: Convert to fraction form
    207.56/448.31 = 448.31/x
  3. Step 3: Cross multiply
    207.56x = 448.31 × 448.31
  4. Step 4: Simplify right side
    207.56x = 200,984.10
  5. Step 5: Solve for x
    x = 200,984.10/207.56
  6. Step 6: Final answer
    x = 968.31

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