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Finding the Third Proportional to 900.09 and 1,963.28

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Solution

The third proportional to 900.09 and 1,963.28 is: 4,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.09 : 1,963.28 = 1,963.28 : x
  2. Step 2: Convert to fraction form
    900.09/1,963.28 = 1,963.28/x
  3. Step 3: Cross multiply
    900.09x = 1,963.28 × 1,963.28
  4. Step 4: Simplify right side
    900.09x = 3,854,473.27
  5. Step 5: Solve for x
    x = 3,854,473.27/900.09
  6. Step 6: Final answer
    x = 4,282.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.