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Finding the Third Proportional to 19,428 and 41,619

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Solution

The third proportional to 19,428 and 41,619 is: 89,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,428 : 41,619 = 41,619 : x
  2. Step 2: Convert to fraction form
    19,428/41,619 = 41,619/x
  3. Step 3: Cross multiply
    19,428x = 41,619 × 41,619
  4. Step 4: Simplify right side
    19,428x = 1,732,141,161
  5. Step 5: Solve for x
    x = 1,732,141,161/19,428
  6. Step 6: Final answer
    x = 89,156.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.