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Finding the Third Proportional to 78,865 and 171,041

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Solution

The third proportional to 78,865 and 171,041 is: 370,950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,865 : 171,041 = 171,041 : x
  2. Step 2: Convert to fraction form
    78,865/171,041 = 171,041/x
  3. Step 3: Cross multiply
    78,865x = 171,041 × 171,041
  4. Step 4: Simplify right side
    78,865x = 29,255,023,681
  5. Step 5: Solve for x
    x = 29,255,023,681/78,865
  6. Step 6: Final answer
    x = 370,950.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.