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Finding the Third Proportional to 401.52 and 879.93

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Solution

The third proportional to 401.52 and 879.93 is: 1,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.52 : 879.93 = 879.93 : x
  2. Step 2: Convert to fraction form
    401.52/879.93 = 879.93/x
  3. Step 3: Cross multiply
    401.52x = 879.93 × 879.93
  4. Step 4: Simplify right side
    401.52x = 774,269.38
  5. Step 5: Solve for x
    x = 774,269.38/401.52
  6. Step 6: Final answer
    x = 1,928.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.