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Finding the Third Proportional to 19,728 and 26,579.81

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Solution

The third proportional to 19,728 and 26,579.81 is: 35,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728 : 26,579.81 = 26,579.81 : x
  2. Step 2: Convert to fraction form
    19,728/26,579.81 = 26,579.81/x
  3. Step 3: Cross multiply
    19,728x = 26,579.81 × 26,579.81
  4. Step 4: Simplify right side
    19,728x = 706,486,432.54
  5. Step 5: Solve for x
    x = 706,486,432.54/19,728
  6. Step 6: Final answer
    x = 35,811.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.