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Finding the Third Proportional to 81,421.50 and 166,791

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Solution

The third proportional to 81,421.50 and 166,791 is: 341,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,421.50 : 166,791 = 166,791 : x
  2. Step 2: Convert to fraction form
    81,421.50/166,791 = 166,791/x
  3. Step 3: Cross multiply
    81,421.50x = 166,791 × 166,791
  4. Step 4: Simplify right side
    81,421.50x = 27,819,237,681
  5. Step 5: Solve for x
    x = 27,819,237,681/81,421.50
  6. Step 6: Final answer
    x = 341,669.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.