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Finding the Third Proportional to 81,666 and 171,639

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Solution

The third proportional to 81,666 and 171,639 is: 360,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,666 : 171,639 = 171,639 : x
  2. Step 2: Convert to fraction form
    81,666/171,639 = 171,639/x
  3. Step 3: Cross multiply
    81,666x = 171,639 × 171,639
  4. Step 4: Simplify right side
    81,666x = 29,459,946,321
  5. Step 5: Solve for x
    x = 29,459,946,321/81,666
  6. Step 6: Final answer
    x = 360,736.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.