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Finding the Third Proportional to 15,819 and 35,137.50

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Solution

The third proportional to 15,819 and 35,137.50 is: 78,048.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,819 : 35,137.50 = 35,137.50 : x
  2. Step 2: Convert to fraction form
    15,819/35,137.50 = 35,137.50/x
  3. Step 3: Cross multiply
    15,819x = 35,137.50 × 35,137.50
  4. Step 4: Simplify right side
    15,819x = 1,234,643,906.25
  5. Step 5: Solve for x
    x = 1,234,643,906.25/15,819
  6. Step 6: Final answer
    x = 78,048.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.