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Finding the Third Proportional to 11,343 and 13,426.50

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Solution

The third proportional to 11,343 and 13,426.50 is: 15,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343 : 13,426.50 = 13,426.50 : x
  2. Step 2: Convert to fraction form
    11,343/13,426.50 = 13,426.50/x
  3. Step 3: Cross multiply
    11,343x = 13,426.50 × 13,426.50
  4. Step 4: Simplify right side
    11,343x = 180,270,902.25
  5. Step 5: Solve for x
    x = 180,270,902.25/11,343
  6. Step 6: Final answer
    x = 15,892.70

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.