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Finding the Third Proportional to 8,913.16 and 13,905.11

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Solution

The third proportional to 8,913.16 and 13,905.11 is: 21,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,913.16 : 13,905.11 = 13,905.11 : x
  2. Step 2: Convert to fraction form
    8,913.16/13,905.11 = 13,905.11/x
  3. Step 3: Cross multiply
    8,913.16x = 13,905.11 × 13,905.11
  4. Step 4: Simplify right side
    8,913.16x = 193,351,958.10
  5. Step 5: Solve for x
    x = 193,351,958.10/8,913.16
  6. Step 6: Final answer
    x = 21,692.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.