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Finding the Third Proportional to 12,647 and 19,649.63

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Solution

The third proportional to 12,647 and 19,649.63 is: 30,529.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647 : 19,649.63 = 19,649.63 : x
  2. Step 2: Convert to fraction form
    12,647/19,649.63 = 19,649.63/x
  3. Step 3: Cross multiply
    12,647x = 19,649.63 × 19,649.63
  4. Step 4: Simplify right side
    12,647x = 386,107,762.64
  5. Step 5: Solve for x
    x = 386,107,762.64/12,647
  6. Step 6: Final answer
    x = 30,529.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.