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Finding the Third Proportional to 78,715 and 169,869

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Solution

The third proportional to 78,715 and 169,869 is: 366,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,715 : 169,869 = 169,869 : x
  2. Step 2: Convert to fraction form
    78,715/169,869 = 169,869/x
  3. Step 3: Cross multiply
    78,715x = 169,869 × 169,869
  4. Step 4: Simplify right side
    78,715x = 28,855,477,161
  5. Step 5: Solve for x
    x = 28,855,477,161/78,715
  6. Step 6: Final answer
    x = 366,581.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.