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Finding the Third Proportional to 11,343 and 14,584.50

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Solution

The third proportional to 11,343 and 14,584.50 is: 18,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343 : 14,584.50 = 14,584.50 : x
  2. Step 2: Convert to fraction form
    11,343/14,584.50 = 14,584.50/x
  3. Step 3: Cross multiply
    11,343x = 14,584.50 × 14,584.50
  4. Step 4: Simplify right side
    11,343x = 212,707,640.25
  5. Step 5: Solve for x
    x = 212,707,640.25/11,343
  6. Step 6: Final answer
    x = 18,752.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.