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Finding the Third Proportional to 12,137 and 19,299.50

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Solution

The third proportional to 12,137 and 19,299.50 is: 30,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137 : 19,299.50 = 19,299.50 : x
  2. Step 2: Convert to fraction form
    12,137/19,299.50 = 19,299.50/x
  3. Step 3: Cross multiply
    12,137x = 19,299.50 × 19,299.50
  4. Step 4: Simplify right side
    12,137x = 372,470,700.25
  5. Step 5: Solve for x
    x = 372,470,700.25/12,137
  6. Step 6: Final answer
    x = 30,688.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.