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Finding the Third Proportional to 19,154 and 28,615

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Solution

The third proportional to 19,154 and 28,615 is: 42,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,154 : 28,615 = 28,615 : x
  2. Step 2: Convert to fraction form
    19,154/28,615 = 28,615/x
  3. Step 3: Cross multiply
    19,154x = 28,615 × 28,615
  4. Step 4: Simplify right side
    19,154x = 818,818,225
  5. Step 5: Solve for x
    x = 818,818,225/19,154
  6. Step 6: Final answer
    x = 42,749.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.