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Finding the Third Proportional to 79,688 and 171,671

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Solution

The third proportional to 79,688 and 171,671 is: 369,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,688 : 171,671 = 171,671 : x
  2. Step 2: Convert to fraction form
    79,688/171,671 = 171,671/x
  3. Step 3: Cross multiply
    79,688x = 171,671 × 171,671
  4. Step 4: Simplify right side
    79,688x = 29,470,932,241
  5. Step 5: Solve for x
    x = 29,470,932,241/79,688
  6. Step 6: Final answer
    x = 369,828.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.