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Finding the Third Proportional to 448.51 and 935.46

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Solution

The third proportional to 448.51 and 935.46 is: 1,951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.51 : 935.46 = 935.46 : x
  2. Step 2: Convert to fraction form
    448.51/935.46 = 935.46/x
  3. Step 3: Cross multiply
    448.51x = 935.46 × 935.46
  4. Step 4: Simplify right side
    448.51x = 875,076.20
  5. Step 5: Solve for x
    x = 875,076.20/448.51
  6. Step 6: Final answer
    x = 1,951.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.