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Finding the Third Proportional to 79,720 and 108,313

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Solution

The third proportional to 79,720 and 108,313 is: 147,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,720 : 108,313 = 108,313 : x
  2. Step 2: Convert to fraction form
    79,720/108,313 = 108,313/x
  3. Step 3: Cross multiply
    79,720x = 108,313 × 108,313
  4. Step 4: Simplify right side
    79,720x = 11,731,705,969
  5. Step 5: Solve for x
    x = 11,731,705,969/79,720
  6. Step 6: Final answer
    x = 147,161.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.