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Finding the Third Proportional to 448.98 and 671.57

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Solution

The third proportional to 448.98 and 671.57 is: 1,004.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.98 : 671.57 = 671.57 : x
  2. Step 2: Convert to fraction form
    448.98/671.57 = 671.57/x
  3. Step 3: Cross multiply
    448.98x = 671.57 × 671.57
  4. Step 4: Simplify right side
    448.98x = 451,009.31
  5. Step 5: Solve for x
    x = 451,009.31/448.98
  6. Step 6: Final answer
    x = 1,004.52

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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.