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Finding the Third Proportional to 3,157.88 and 4,145.06

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Solution

The third proportional to 3,157.88 and 4,145.06 is: 5,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.88 : 4,145.06 = 4,145.06 : x
  2. Step 2: Convert to fraction form
    3,157.88/4,145.06 = 4,145.06/x
  3. Step 3: Cross multiply
    3,157.88x = 4,145.06 × 4,145.06
  4. Step 4: Simplify right side
    3,157.88x = 17,181,543.13
  5. Step 5: Solve for x
    x = 17,181,543.13/3,157.88
  6. Step 6: Final answer
    x = 5,440.86

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.