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Finding the Third Proportional to 79,440 and 122,685

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Solution

The third proportional to 79,440 and 122,685 is: 189,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,440 : 122,685 = 122,685 : x
  2. Step 2: Convert to fraction form
    79,440/122,685 = 122,685/x
  3. Step 3: Cross multiply
    79,440x = 122,685 × 122,685
  4. Step 4: Simplify right side
    79,440x = 15,051,609,225
  5. Step 5: Solve for x
    x = 15,051,609,225/79,440
  6. Step 6: Final answer
    x = 189,471.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.