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Finding the Third Proportional to 95,562 and 208,611

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Solution

The third proportional to 95,562 and 208,611 is: 455,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,562 : 208,611 = 208,611 : x
  2. Step 2: Convert to fraction form
    95,562/208,611 = 208,611/x
  3. Step 3: Cross multiply
    95,562x = 208,611 × 208,611
  4. Step 4: Simplify right side
    95,562x = 43,518,549,321
  5. Step 5: Solve for x
    x = 43,518,549,321/95,562
  6. Step 6: Final answer
    x = 455,395.97

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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.