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Finding the Third Proportional to 30,912 and 49,770

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Solution

The third proportional to 30,912 and 49,770 is: 80,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912 : 49,770 = 49,770 : x
  2. Step 2: Convert to fraction form
    30,912/49,770 = 49,770/x
  3. Step 3: Cross multiply
    30,912x = 49,770 × 49,770
  4. Step 4: Simplify right side
    30,912x = 2,477,052,900
  5. Step 5: Solve for x
    x = 2,477,052,900/30,912
  6. Step 6: Final answer
    x = 80,132.40

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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.