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Finding the Third Proportional to 5,145.19 and 10,654.88

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Solution

The third proportional to 5,145.19 and 10,654.88 is: 22,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.19 : 10,654.88 = 10,654.88 : x
  2. Step 2: Convert to fraction form
    5,145.19/10,654.88 = 10,654.88/x
  3. Step 3: Cross multiply
    5,145.19x = 10,654.88 × 10,654.88
  4. Step 4: Simplify right side
    5,145.19x = 113,526,361.27
  5. Step 5: Solve for x
    x = 113,526,361.27/5,145.19
  6. Step 6: Final answer
    x = 22,064.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.