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Finding the Third Proportional to 19,451 and 28,558

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Solution

The third proportional to 19,451 and 28,558 is: 41,928.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,451 : 28,558 = 28,558 : x
  2. Step 2: Convert to fraction form
    19,451/28,558 = 28,558/x
  3. Step 3: Cross multiply
    19,451x = 28,558 × 28,558
  4. Step 4: Simplify right side
    19,451x = 815,559,364
  5. Step 5: Solve for x
    x = 815,559,364/19,451
  6. Step 6: Final answer
    x = 41,928.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.