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Finding the Third Proportional to 13,653.94 and 20,577.28

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Solution

The third proportional to 13,653.94 and 20,577.28 is: 31,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.94 : 20,577.28 = 20,577.28 : x
  2. Step 2: Convert to fraction form
    13,653.94/20,577.28 = 20,577.28/x
  3. Step 3: Cross multiply
    13,653.94x = 20,577.28 × 20,577.28
  4. Step 4: Simplify right side
    13,653.94x = 423,424,503.64
  5. Step 5: Solve for x
    x = 423,424,503.64/13,653.94
  6. Step 6: Final answer
    x = 31,011.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.