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Finding the Third Proportional to 12,939.75 and 28,643.63

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Solution

The third proportional to 12,939.75 and 28,643.63 is: 63,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939.75 : 28,643.63 = 28,643.63 : x
  2. Step 2: Convert to fraction form
    12,939.75/28,643.63 = 28,643.63/x
  3. Step 3: Cross multiply
    12,939.75x = 28,643.63 × 28,643.63
  4. Step 4: Simplify right side
    12,939.75x = 820,457,253.14
  5. Step 5: Solve for x
    x = 820,457,253.14/12,939.75
  6. Step 6: Final answer
    x = 63,405.96

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.