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Finding the Third Proportional to 15,321 and 23,427

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Solution

The third proportional to 15,321 and 23,427 is: 35,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,321 : 23,427 = 23,427 : x
  2. Step 2: Convert to fraction form
    15,321/23,427 = 23,427/x
  3. Step 3: Cross multiply
    15,321x = 23,427 × 23,427
  4. Step 4: Simplify right side
    15,321x = 548,824,329
  5. Step 5: Solve for x
    x = 548,824,329/15,321
  6. Step 6: Final answer
    x = 35,821.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.