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Finding the Third Proportional to 43,829 and 71,207.50

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Solution

The third proportional to 43,829 and 71,207.50 is: 115,688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,829 : 71,207.50 = 71,207.50 : x
  2. Step 2: Convert to fraction form
    43,829/71,207.50 = 71,207.50/x
  3. Step 3: Cross multiply
    43,829x = 71,207.50 × 71,207.50
  4. Step 4: Simplify right side
    43,829x = 5,070,508,056.25
  5. Step 5: Solve for x
    x = 5,070,508,056.25/43,829
  6. Step 6: Final answer
    x = 115,688.43

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.