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Finding the Third Proportional to 30,129 and 43,042

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Solution

The third proportional to 30,129 and 43,042 is: 61,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,129 : 43,042 = 43,042 : x
  2. Step 2: Convert to fraction form
    30,129/43,042 = 43,042/x
  3. Step 3: Cross multiply
    30,129x = 43,042 × 43,042
  4. Step 4: Simplify right side
    30,129x = 1,852,613,764
  5. Step 5: Solve for x
    x = 1,852,613,764/30,129
  6. Step 6: Final answer
    x = 61,489.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.