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Finding the Third Proportional to 20,115 and 40,783.50

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Solution

The third proportional to 20,115 and 40,783.50 is: 82,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115 : 40,783.50 = 40,783.50 : x
  2. Step 2: Convert to fraction form
    20,115/40,783.50 = 40,783.50/x
  3. Step 3: Cross multiply
    20,115x = 40,783.50 × 40,783.50
  4. Step 4: Simplify right side
    20,115x = 1,663,293,872.25
  5. Step 5: Solve for x
    x = 1,663,293,872.25/20,115
  6. Step 6: Final answer
    x = 82,689.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.