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Finding the Third Proportional to 19,559 and 42,163

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Solution

The third proportional to 19,559 and 42,163 is: 90,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,559 : 42,163 = 42,163 : x
  2. Step 2: Convert to fraction form
    19,559/42,163 = 42,163/x
  3. Step 3: Cross multiply
    19,559x = 42,163 × 42,163
  4. Step 4: Simplify right side
    19,559x = 1,777,718,569
  5. Step 5: Solve for x
    x = 1,777,718,569/19,559
  6. Step 6: Final answer
    x = 90,890.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.