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Finding the Third Proportional to 160,869 and 343,111

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Solution

The third proportional to 160,869 and 343,111 is: 731,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,869 : 343,111 = 343,111 : x
  2. Step 2: Convert to fraction form
    160,869/343,111 = 343,111/x
  3. Step 3: Cross multiply
    160,869x = 343,111 × 343,111
  4. Step 4: Simplify right side
    160,869x = 117,725,158,321
  5. Step 5: Solve for x
    x = 117,725,158,321/160,869
  6. Step 6: Final answer
    x = 731,807.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.