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Finding the Third Proportional to 15,723 and 34,254

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Solution

The third proportional to 15,723 and 34,254 is: 74,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723 : 34,254 = 34,254 : x
  2. Step 2: Convert to fraction form
    15,723/34,254 = 34,254/x
  3. Step 3: Cross multiply
    15,723x = 34,254 × 34,254
  4. Step 4: Simplify right side
    15,723x = 1,173,336,516
  5. Step 5: Solve for x
    x = 1,173,336,516/15,723
  6. Step 6: Final answer
    x = 74,625.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.