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Finding the Third Proportional to 72,529 and 157,154

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Solution

The third proportional to 72,529 and 157,154 is: 340,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,529 : 157,154 = 157,154 : x
  2. Step 2: Convert to fraction form
    72,529/157,154 = 157,154/x
  3. Step 3: Cross multiply
    72,529x = 157,154 × 157,154
  4. Step 4: Simplify right side
    72,529x = 24,697,379,716
  5. Step 5: Solve for x
    x = 24,697,379,716/72,529
  6. Step 6: Final answer
    x = 340,517.31

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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.