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Finding the Third Proportional to 72,177 and 156,633

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Solution

The third proportional to 72,177 and 156,633 is: 339,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,177 : 156,633 = 156,633 : x
  2. Step 2: Convert to fraction form
    72,177/156,633 = 156,633/x
  3. Step 3: Cross multiply
    72,177x = 156,633 × 156,633
  4. Step 4: Simplify right side
    72,177x = 24,533,896,689
  5. Step 5: Solve for x
    x = 24,533,896,689/72,177
  6. Step 6: Final answer
    x = 339,912.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.