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Finding the Third Proportional to 6,857.16 and 10,638.84

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Solution

The third proportional to 6,857.16 and 10,638.84 is: 16,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.16 : 10,638.84 = 10,638.84 : x
  2. Step 2: Convert to fraction form
    6,857.16/10,638.84 = 10,638.84/x
  3. Step 3: Cross multiply
    6,857.16x = 10,638.84 × 10,638.84
  4. Step 4: Simplify right side
    6,857.16x = 113,184,996.34
  5. Step 5: Solve for x
    x = 113,184,996.34/6,857.16
  6. Step 6: Final answer
    x = 16,506.11

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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.