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Finding the Third Proportional to 15,357 and 20,970

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Solution

The third proportional to 15,357 and 20,970 is: 28,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,357 : 20,970 = 20,970 : x
  2. Step 2: Convert to fraction form
    15,357/20,970 = 20,970/x
  3. Step 3: Cross multiply
    15,357x = 20,970 × 20,970
  4. Step 4: Simplify right side
    15,357x = 439,740,900
  5. Step 5: Solve for x
    x = 439,740,900/15,357
  6. Step 6: Final answer
    x = 28,634.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.