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Finding the Third Proportional to 26,163 and 42,120

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Solution

The third proportional to 26,163 and 42,120 is: 67,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,163 : 42,120 = 42,120 : x
  2. Step 2: Convert to fraction form
    26,163/42,120 = 42,120/x
  3. Step 3: Cross multiply
    26,163x = 42,120 × 42,120
  4. Step 4: Simplify right side
    26,163x = 1,774,094,400
  5. Step 5: Solve for x
    x = 1,774,094,400/26,163
  6. Step 6: Final answer
    x = 67,809.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.