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Finding the Third Proportional to 30,640 and 48,790

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Solution

The third proportional to 30,640 and 48,790 is: 77,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640 : 48,790 = 48,790 : x
  2. Step 2: Convert to fraction form
    30,640/48,790 = 48,790/x
  3. Step 3: Cross multiply
    30,640x = 48,790 × 48,790
  4. Step 4: Simplify right side
    30,640x = 2,380,464,100
  5. Step 5: Solve for x
    x = 2,380,464,100/30,640
  6. Step 6: Final answer
    x = 77,691.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.