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Finding the Third Proportional to 76,724 and 122,135

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Solution

The third proportional to 76,724 and 122,135 is: 194,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,724 : 122,135 = 122,135 : x
  2. Step 2: Convert to fraction form
    76,724/122,135 = 122,135/x
  3. Step 3: Cross multiply
    76,724x = 122,135 × 122,135
  4. Step 4: Simplify right side
    76,724x = 14,916,958,225
  5. Step 5: Solve for x
    x = 14,916,958,225/76,724
  6. Step 6: Final answer
    x = 194,423.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.