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Finding the Third Proportional to 901.69 and 1,216.97

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Solution

The third proportional to 901.69 and 1,216.97 is: 1,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.69 : 1,216.97 = 1,216.97 : x
  2. Step 2: Convert to fraction form
    901.69/1,216.97 = 1,216.97/x
  3. Step 3: Cross multiply
    901.69x = 1,216.97 × 1,216.97
  4. Step 4: Simplify right side
    901.69x = 1,481,012.94
  5. Step 5: Solve for x
    x = 1,481,012.94/901.69
  6. Step 6: Final answer
    x = 1,642.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.