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Finding the Third Proportional to 30,838 and 48,783

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Solution

The third proportional to 30,838 and 48,783 is: 77,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838 : 48,783 = 48,783 : x
  2. Step 2: Convert to fraction form
    30,838/48,783 = 48,783/x
  3. Step 3: Cross multiply
    30,838x = 48,783 × 48,783
  4. Step 4: Simplify right side
    30,838x = 2,379,781,089
  5. Step 5: Solve for x
    x = 2,379,781,089/30,838
  6. Step 6: Final answer
    x = 77,170.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.