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Finding the Third Proportional to 30,339 and 62,838

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Solution

The third proportional to 30,339 and 62,838 is: 130,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,339 : 62,838 = 62,838 : x
  2. Step 2: Convert to fraction form
    30,339/62,838 = 62,838/x
  3. Step 3: Cross multiply
    30,339x = 62,838 × 62,838
  4. Step 4: Simplify right side
    30,339x = 3,948,614,244
  5. Step 5: Solve for x
    x = 3,948,614,244/30,339
  6. Step 6: Final answer
    x = 130,149.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.