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Finding the Third Proportional to 95,666 and 208,555

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Solution

The third proportional to 95,666 and 208,555 is: 454,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,666 : 208,555 = 208,555 : x
  2. Step 2: Convert to fraction form
    95,666/208,555 = 208,555/x
  3. Step 3: Cross multiply
    95,666x = 208,555 × 208,555
  4. Step 4: Simplify right side
    95,666x = 43,495,188,025
  5. Step 5: Solve for x
    x = 43,495,188,025/95,666
  6. Step 6: Final answer
    x = 454,656.70

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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.