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Finding the Third Proportional to 30,828 and 47,830

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Solution

The third proportional to 30,828 and 47,830 is: 74,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828 : 47,830 = 47,830 : x
  2. Step 2: Convert to fraction form
    30,828/47,830 = 47,830/x
  3. Step 3: Cross multiply
    30,828x = 47,830 × 47,830
  4. Step 4: Simplify right side
    30,828x = 2,287,708,900
  5. Step 5: Solve for x
    x = 2,287,708,900/30,828
  6. Step 6: Final answer
    x = 74,208.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.