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Finding the Third Proportional to 19,122 and 28,479

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Solution

The third proportional to 19,122 and 28,479 is: 42,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122 : 28,479 = 28,479 : x
  2. Step 2: Convert to fraction form
    19,122/28,479 = 28,479/x
  3. Step 3: Cross multiply
    19,122x = 28,479 × 28,479
  4. Step 4: Simplify right side
    19,122x = 811,053,441
  5. Step 5: Solve for x
    x = 811,053,441/19,122
  6. Step 6: Final answer
    x = 42,414.68

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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.