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Finding the Third Proportional to 6,561 and 10,165.50

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Solution

The third proportional to 6,561 and 10,165.50 is: 15,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561 : 10,165.50 = 10,165.50 : x
  2. Step 2: Convert to fraction form
    6,561/10,165.50 = 10,165.50/x
  3. Step 3: Cross multiply
    6,561x = 10,165.50 × 10,165.50
  4. Step 4: Simplify right side
    6,561x = 103,337,390.25
  5. Step 5: Solve for x
    x = 103,337,390.25/6,561
  6. Step 6: Final answer
    x = 15,750.25

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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.