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Finding the Third Proportional to 641.44 and 901.97

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Solution

The third proportional to 641.44 and 901.97 is: 1,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.44 : 901.97 = 901.97 : x
  2. Step 2: Convert to fraction form
    641.44/901.97 = 901.97/x
  3. Step 3: Cross multiply
    641.44x = 901.97 × 901.97
  4. Step 4: Simplify right side
    641.44x = 813,547.63
  5. Step 5: Solve for x
    x = 813,547.63/641.44
  6. Step 6: Final answer
    x = 1,268.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.