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Finding the Third Proportional to 15,430 and 33,894

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Solution

The third proportional to 15,430 and 33,894 is: 74,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,430 : 33,894 = 33,894 : x
  2. Step 2: Convert to fraction form
    15,430/33,894 = 33,894/x
  3. Step 3: Cross multiply
    15,430x = 33,894 × 33,894
  4. Step 4: Simplify right side
    15,430x = 1,148,803,236
  5. Step 5: Solve for x
    x = 1,148,803,236/15,430
  6. Step 6: Final answer
    x = 74,452.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.