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Finding the Third Proportional to 28,640 and 43,814

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Solution

The third proportional to 28,640 and 43,814 is: 67,027.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,640 : 43,814 = 43,814 : x
  2. Step 2: Convert to fraction form
    28,640/43,814 = 43,814/x
  3. Step 3: Cross multiply
    28,640x = 43,814 × 43,814
  4. Step 4: Simplify right side
    28,640x = 1,919,666,596
  5. Step 5: Solve for x
    x = 1,919,666,596/28,640
  6. Step 6: Final answer
    x = 67,027.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.