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Finding the Third Proportional to 30,339 and 65,830

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Solution

The third proportional to 30,339 and 65,830 is: 142,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,339 : 65,830 = 65,830 : x
  2. Step 2: Convert to fraction form
    30,339/65,830 = 65,830/x
  3. Step 3: Cross multiply
    30,339x = 65,830 × 65,830
  4. Step 4: Simplify right side
    30,339x = 4,333,588,900
  5. Step 5: Solve for x
    x = 4,333,588,900/30,339
  6. Step 6: Final answer
    x = 142,838.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.