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Finding the Third Proportional to 74,609 and 115,696

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Solution

The third proportional to 74,609 and 115,696 is: 179,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,609 : 115,696 = 115,696 : x
  2. Step 2: Convert to fraction form
    74,609/115,696 = 115,696/x
  3. Step 3: Cross multiply
    74,609x = 115,696 × 115,696
  4. Step 4: Simplify right side
    74,609x = 13,385,564,416
  5. Step 5: Solve for x
    x = 13,385,564,416/74,609
  6. Step 6: Final answer
    x = 179,409.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.