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Finding the Third Proportional to 276,009.75 and 370,928.25

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Solution

The third proportional to 276,009.75 and 370,928.25 is: 498,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,009.75 : 370,928.25 = 370,928.25 : x
  2. Step 2: Convert to fraction form
    276,009.75/370,928.25 = 370,928.25/x
  3. Step 3: Cross multiply
    276,009.75x = 370,928.25 × 370,928.25
  4. Step 4: Simplify right side
    276,009.75x = 137,587,766,648.06
  5. Step 5: Solve for x
    x = 137,587,766,648.06/276,009.75
  6. Step 6: Final answer
    x = 498,488.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.