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Finding the Third Proportional to 30,800 and 47,560

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Solution

The third proportional to 30,800 and 47,560 is: 73,440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800 : 47,560 = 47,560 : x
  2. Step 2: Convert to fraction form
    30,800/47,560 = 47,560/x
  3. Step 3: Cross multiply
    30,800x = 47,560 × 47,560
  4. Step 4: Simplify right side
    30,800x = 2,261,953,600
  5. Step 5: Solve for x
    x = 2,261,953,600/30,800
  6. Step 6: Final answer
    x = 73,440.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.