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Finding the Third Proportional to 169,869 and 359,970

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Solution

The third proportional to 169,869 and 359,970 is: 762,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,869 : 359,970 = 359,970 : x
  2. Step 2: Convert to fraction form
    169,869/359,970 = 359,970/x
  3. Step 3: Cross multiply
    169,869x = 359,970 × 359,970
  4. Step 4: Simplify right side
    169,869x = 129,578,400,900
  5. Step 5: Solve for x
    x = 129,578,400,900/169,869
  6. Step 6: Final answer
    x = 762,813.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.