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Finding the Third Proportional to 30,396 and 45,756

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Solution

The third proportional to 30,396 and 45,756 is: 68,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,396 : 45,756 = 45,756 : x
  2. Step 2: Convert to fraction form
    30,396/45,756 = 45,756/x
  3. Step 3: Cross multiply
    30,396x = 45,756 × 45,756
  4. Step 4: Simplify right side
    30,396x = 2,093,611,536
  5. Step 5: Solve for x
    x = 2,093,611,536/30,396
  6. Step 6: Final answer
    x = 68,877.86

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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.