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Finding the Third Proportional to 641.88 and 962.88

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Solution

The third proportional to 641.88 and 962.88 is: 1,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.88 : 962.88 = 962.88 : x
  2. Step 2: Convert to fraction form
    641.88/962.88 = 962.88/x
  3. Step 3: Cross multiply
    641.88x = 962.88 × 962.88
  4. Step 4: Simplify right side
    641.88x = 927,128.27
  5. Step 5: Solve for x
    x = 927,128.27/641.88
  6. Step 6: Final answer
    x = 1,444.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.