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Finding the Third Proportional to 72,614 and 106,977

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Solution

The third proportional to 72,614 and 106,977 is: 157,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,614 : 106,977 = 106,977 : x
  2. Step 2: Convert to fraction form
    72,614/106,977 = 106,977/x
  3. Step 3: Cross multiply
    72,614x = 106,977 × 106,977
  4. Step 4: Simplify right side
    72,614x = 11,444,078,529
  5. Step 5: Solve for x
    x = 11,444,078,529/72,614
  6. Step 6: Final answer
    x = 157,601.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.