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Finding the Third Proportional to 78,153 and 171,211

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Solution

The third proportional to 78,153 and 171,211 is: 375,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,153 : 171,211 = 171,211 : x
  2. Step 2: Convert to fraction form
    78,153/171,211 = 171,211/x
  3. Step 3: Cross multiply
    78,153x = 171,211 × 171,211
  4. Step 4: Simplify right side
    78,153x = 29,313,206,521
  5. Step 5: Solve for x
    x = 29,313,206,521/78,153
  6. Step 6: Final answer
    x = 375,074.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.