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Finding the Third Proportional to 30,358 and 61,919

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Solution

The third proportional to 30,358 and 61,919 is: 126,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,358 : 61,919 = 61,919 : x
  2. Step 2: Convert to fraction form
    30,358/61,919 = 61,919/x
  3. Step 3: Cross multiply
    30,358x = 61,919 × 61,919
  4. Step 4: Simplify right side
    30,358x = 3,833,962,561
  5. Step 5: Solve for x
    x = 3,833,962,561/30,358
  6. Step 6: Final answer
    x = 126,291.67

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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.