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Finding the Third Proportional to 8,127 and 13,046.06

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Solution

The third proportional to 8,127 and 13,046.06 is: 20,942.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127 : 13,046.06 = 13,046.06 : x
  2. Step 2: Convert to fraction form
    8,127/13,046.06 = 13,046.06/x
  3. Step 3: Cross multiply
    8,127x = 13,046.06 × 13,046.06
  4. Step 4: Simplify right side
    8,127x = 170,199,746.75
  5. Step 5: Solve for x
    x = 170,199,746.75/8,127
  6. Step 6: Final answer
    x = 20,942.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.