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Finding the Third Proportional to 30,356 and 61,915

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Solution

The third proportional to 30,356 and 61,915 is: 126,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,356 : 61,915 = 61,915 : x
  2. Step 2: Convert to fraction form
    30,356/61,915 = 61,915/x
  3. Step 3: Cross multiply
    30,356x = 61,915 × 61,915
  4. Step 4: Simplify right side
    30,356x = 3,833,467,225
  5. Step 5: Solve for x
    x = 3,833,467,225/30,356
  6. Step 6: Final answer
    x = 126,283.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.