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Finding the Third Proportional to 49,336 and 77,311

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Solution

The third proportional to 49,336 and 77,311 is: 121,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,336 : 77,311 = 77,311 : x
  2. Step 2: Convert to fraction form
    49,336/77,311 = 77,311/x
  3. Step 3: Cross multiply
    49,336x = 77,311 × 77,311
  4. Step 4: Simplify right side
    49,336x = 5,976,990,721
  5. Step 5: Solve for x
    x = 5,976,990,721/49,336
  6. Step 6: Final answer
    x = 121,148.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.