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Finding the Third Proportional to 43,129 and 71,574

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Solution

The third proportional to 43,129 and 71,574 is: 118,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,129 : 71,574 = 71,574 : x
  2. Step 2: Convert to fraction form
    43,129/71,574 = 71,574/x
  3. Step 3: Cross multiply
    43,129x = 71,574 × 71,574
  4. Step 4: Simplify right side
    43,129x = 5,122,837,476
  5. Step 5: Solve for x
    x = 5,122,837,476/43,129
  6. Step 6: Final answer
    x = 118,779.42

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.