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Finding the Third Proportional to 34,560 and 54,000

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Solution

The third proportional to 34,560 and 54,000 is: 84,375

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,560 : 54,000 = 54,000 : x
  2. Step 2: Convert to fraction form
    34,560/54,000 = 54,000/x
  3. Step 3: Cross multiply
    34,560x = 54,000 × 54,000
  4. Step 4: Simplify right side
    34,560x = 2,916,000,000
  5. Step 5: Solve for x
    x = 2,916,000,000/34,560
  6. Step 6: Final answer
    x = 84,375

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.