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Finding the Third Proportional to 31,078.75 and 49,289.75

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Solution

The third proportional to 31,078.75 and 49,289.75 is: 78,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,078.75 : 49,289.75 = 49,289.75 : x
  2. Step 2: Convert to fraction form
    31,078.75/49,289.75 = 49,289.75/x
  3. Step 3: Cross multiply
    31,078.75x = 49,289.75 × 49,289.75
  4. Step 4: Simplify right side
    31,078.75x = 2,429,479,455.06
  5. Step 5: Solve for x
    x = 2,429,479,455.06/31,078.75
  6. Step 6: Final answer
    x = 78,171.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.