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Finding the Third Proportional to 20,989.13 and 57,029.06

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Solution

The third proportional to 20,989.13 and 57,029.06 is: 154,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,989.13 : 57,029.06 = 57,029.06 : x
  2. Step 2: Convert to fraction form
    20,989.13/57,029.06 = 57,029.06/x
  3. Step 3: Cross multiply
    20,989.13x = 57,029.06 × 57,029.06
  4. Step 4: Simplify right side
    20,989.13x = 3,252,313,969.63
  5. Step 5: Solve for x
    x = 3,252,313,969.63/20,989.13
  6. Step 6: Final answer
    x = 154,952.34

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.