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Finding the Third Proportional to 81,370 and 167,964

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Solution

The third proportional to 81,370 and 167,964 is: 346,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,370 : 167,964 = 167,964 : x
  2. Step 2: Convert to fraction form
    81,370/167,964 = 167,964/x
  3. Step 3: Cross multiply
    81,370x = 167,964 × 167,964
  4. Step 4: Simplify right side
    81,370x = 28,211,905,296
  5. Step 5: Solve for x
    x = 28,211,905,296/81,370
  6. Step 6: Final answer
    x = 346,711.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.