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Finding the Third Proportional to 12,650.63 and 18,907.17

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Solution

The third proportional to 12,650.63 and 18,907.17 is: 28,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.63 : 18,907.17 = 18,907.17 : x
  2. Step 2: Convert to fraction form
    12,650.63/18,907.17 = 18,907.17/x
  3. Step 3: Cross multiply
    12,650.63x = 18,907.17 × 18,907.17
  4. Step 4: Simplify right side
    12,650.63x = 357,481,148.31
  5. Step 5: Solve for x
    x = 357,481,148.31/12,650.63
  6. Step 6: Final answer
    x = 28,257.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.