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Finding the Third Proportional to 49,678 and 75,159

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Solution

The third proportional to 49,678 and 75,159 is: 113,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,678 : 75,159 = 75,159 : x
  2. Step 2: Convert to fraction form
    49,678/75,159 = 75,159/x
  3. Step 3: Cross multiply
    49,678x = 75,159 × 75,159
  4. Step 4: Simplify right side
    49,678x = 5,648,875,281
  5. Step 5: Solve for x
    x = 5,648,875,281/49,678
  6. Step 6: Final answer
    x = 113,709.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.