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Finding the Third Proportional to 20,968 and 28,492

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Solution

The third proportional to 20,968 and 28,492 is: 38,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,968 : 28,492 = 28,492 : x
  2. Step 2: Convert to fraction form
    20,968/28,492 = 28,492/x
  3. Step 3: Cross multiply
    20,968x = 28,492 × 28,492
  4. Step 4: Simplify right side
    20,968x = 811,794,064
  5. Step 5: Solve for x
    x = 811,794,064/20,968
  6. Step 6: Final answer
    x = 38,715.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.