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Finding the Third Proportional to 6,561 and 10,175.63

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Solution

The third proportional to 6,561 and 10,175.63 is: 15,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561 : 10,175.63 = 10,175.63 : x
  2. Step 2: Convert to fraction form
    6,561/10,175.63 = 10,175.63/x
  3. Step 3: Cross multiply
    6,561x = 10,175.63 × 10,175.63
  4. Step 4: Simplify right side
    6,561x = 103,543,344.14
  5. Step 5: Solve for x
    x = 103,543,344.14/6,561
  6. Step 6: Final answer
    x = 15,781.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.