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Finding the Third Proportional to 77,804 and 169,690

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Solution

The third proportional to 77,804 and 169,690 is: 370,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,804 : 169,690 = 169,690 : x
  2. Step 2: Convert to fraction form
    77,804/169,690 = 169,690/x
  3. Step 3: Cross multiply
    77,804x = 169,690 × 169,690
  4. Step 4: Simplify right side
    77,804x = 28,794,696,100
  5. Step 5: Solve for x
    x = 28,794,696,100/77,804
  6. Step 6: Final answer
    x = 370,092.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.