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Finding the Third Proportional to 30,800 and 49,600

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Solution

The third proportional to 30,800 and 49,600 is: 79,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800 : 49,600 = 49,600 : x
  2. Step 2: Convert to fraction form
    30,800/49,600 = 49,600/x
  3. Step 3: Cross multiply
    30,800x = 49,600 × 49,600
  4. Step 4: Simplify right side
    30,800x = 2,460,160,000
  5. Step 5: Solve for x
    x = 2,460,160,000/30,800
  6. Step 6: Final answer
    x = 79,875.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.