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Finding the Third Proportional to 208,566 and 455,404

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Solution

The third proportional to 208,566 and 455,404 is: 994,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,566 : 455,404 = 455,404 : x
  2. Step 2: Convert to fraction form
    208,566/455,404 = 455,404/x
  3. Step 3: Cross multiply
    208,566x = 455,404 × 455,404
  4. Step 4: Simplify right side
    208,566x = 207,392,803,216
  5. Step 5: Solve for x
    x = 207,392,803,216/208,566
  6. Step 6: Final answer
    x = 994,374.94

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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.