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Finding the Third Proportional to 79,457 and 117,811

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Solution

The third proportional to 79,457 and 117,811 is: 174,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,457 : 117,811 = 117,811 : x
  2. Step 2: Convert to fraction form
    79,457/117,811 = 117,811/x
  3. Step 3: Cross multiply
    79,457x = 117,811 × 117,811
  4. Step 4: Simplify right side
    79,457x = 13,879,431,721
  5. Step 5: Solve for x
    x = 13,879,431,721/79,457
  6. Step 6: Final answer
    x = 174,678.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.