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Finding the Third Proportional to 15,600 and 20,788

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Solution

The third proportional to 15,600 and 20,788 is: 27,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,600 : 20,788 = 20,788 : x
  2. Step 2: Convert to fraction form
    15,600/20,788 = 20,788/x
  3. Step 3: Cross multiply
    15,600x = 20,788 × 20,788
  4. Step 4: Simplify right side
    15,600x = 432,140,944
  5. Step 5: Solve for x
    x = 432,140,944/15,600
  6. Step 6: Final answer
    x = 27,701.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.