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Finding the Third Proportional to 163,611 and 342,045

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Solution

The third proportional to 163,611 and 342,045 is: 715,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,611 : 342,045 = 342,045 : x
  2. Step 2: Convert to fraction form
    163,611/342,045 = 342,045/x
  3. Step 3: Cross multiply
    163,611x = 342,045 × 342,045
  4. Step 4: Simplify right side
    163,611x = 116,994,782,025
  5. Step 5: Solve for x
    x = 116,994,782,025/163,611
  6. Step 6: Final answer
    x = 715,078.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.