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Finding the Third Proportional to 19,021 and 28,535

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Solution

The third proportional to 19,021 and 28,535 is: 42,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,021 : 28,535 = 28,535 : x
  2. Step 2: Convert to fraction form
    19,021/28,535 = 28,535/x
  3. Step 3: Cross multiply
    19,021x = 28,535 × 28,535
  4. Step 4: Simplify right side
    19,021x = 814,246,225
  5. Step 5: Solve for x
    x = 814,246,225/19,021
  6. Step 6: Final answer
    x = 42,807.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.