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Finding the Third Proportional to 30,480 and 47,100

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Solution

The third proportional to 30,480 and 47,100 is: 72,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,480 : 47,100 = 47,100 : x
  2. Step 2: Convert to fraction form
    30,480/47,100 = 47,100/x
  3. Step 3: Cross multiply
    30,480x = 47,100 × 47,100
  4. Step 4: Simplify right side
    30,480x = 2,218,410,000
  5. Step 5: Solve for x
    x = 2,218,410,000/30,480
  6. Step 6: Final answer
    x = 72,782.48

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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.