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Finding the Third Proportional to 638.81 and 962.06

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Solution

The third proportional to 638.81 and 962.06 is: 1,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.81 : 962.06 = 962.06 : x
  2. Step 2: Convert to fraction form
    638.81/962.06 = 962.06/x
  3. Step 3: Cross multiply
    638.81x = 962.06 × 962.06
  4. Step 4: Simplify right side
    638.81x = 925,564.25
  5. Step 5: Solve for x
    x = 925,564.25/638.81
  6. Step 6: Final answer
    x = 1,448.88

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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.