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Finding the Third Proportional to 43,213 and 66,662

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Solution

The third proportional to 43,213 and 66,662 is: 102,835.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,213 : 66,662 = 66,662 : x
  2. Step 2: Convert to fraction form
    43,213/66,662 = 66,662/x
  3. Step 3: Cross multiply
    43,213x = 66,662 × 66,662
  4. Step 4: Simplify right side
    43,213x = 4,443,822,244
  5. Step 5: Solve for x
    x = 4,443,822,244/43,213
  6. Step 6: Final answer
    x = 102,835.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.