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Finding the Third Proportional to 208,557 and 455,366

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Solution

The third proportional to 208,557 and 455,366 is: 994,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,557 : 455,366 = 455,366 : x
  2. Step 2: Convert to fraction form
    208,557/455,366 = 455,366/x
  3. Step 3: Cross multiply
    208,557x = 455,366 × 455,366
  4. Step 4: Simplify right side
    208,557x = 207,358,193,956
  5. Step 5: Solve for x
    x = 207,358,193,956/208,557
  6. Step 6: Final answer
    x = 994,251.90

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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.