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Finding the Third Proportional to 208,921 and 455,569

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Solution

The third proportional to 208,921 and 455,569 is: 993,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,921 : 455,569 = 455,569 : x
  2. Step 2: Convert to fraction form
    208,921/455,569 = 455,569/x
  3. Step 3: Cross multiply
    208,921x = 455,569 × 455,569
  4. Step 4: Simplify right side
    208,921x = 207,543,113,761
  5. Step 5: Solve for x
    x = 207,543,113,761/208,921
  6. Step 6: Final answer
    x = 993,404.75

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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.