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Finding the Third Proportional to 78,650 and 171,122

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Solution

The third proportional to 78,650 and 171,122 is: 372,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,650 : 171,122 = 171,122 : x
  2. Step 2: Convert to fraction form
    78,650/171,122 = 171,122/x
  3. Step 3: Cross multiply
    78,650x = 171,122 × 171,122
  4. Step 4: Simplify right side
    78,650x = 29,282,738,884
  5. Step 5: Solve for x
    x = 29,282,738,884/78,650
  6. Step 6: Final answer
    x = 372,317.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.