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Finding the Third Proportional to 28,519 and 68,705.50

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Solution

The third proportional to 28,519 and 68,705.50 is: 165,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,519 : 68,705.50 = 68,705.50 : x
  2. Step 2: Convert to fraction form
    28,519/68,705.50 = 68,705.50/x
  3. Step 3: Cross multiply
    28,519x = 68,705.50 × 68,705.50
  4. Step 4: Simplify right side
    28,519x = 4,720,445,730.25
  5. Step 5: Solve for x
    x = 4,720,445,730.25/28,519
  6. Step 6: Final answer
    x = 165,519.33

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.