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Finding the Third Proportional to 20,485.13 and 27,676.88

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Solution

The third proportional to 20,485.13 and 27,676.88 is: 37,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,485.13 : 27,676.88 = 27,676.88 : x
  2. Step 2: Convert to fraction form
    20,485.13/27,676.88 = 27,676.88/x
  3. Step 3: Cross multiply
    20,485.13x = 27,676.88 × 27,676.88
  4. Step 4: Simplify right side
    20,485.13x = 766,009,409.77
  5. Step 5: Solve for x
    x = 766,009,409.77/20,485.13
  6. Step 6: Final answer
    x = 37,393.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.