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Finding the Third Proportional to 208,561 and 455,374

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Solution

The third proportional to 208,561 and 455,374 is: 994,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,561 : 455,374 = 455,374 : x
  2. Step 2: Convert to fraction form
    208,561/455,374 = 455,374/x
  3. Step 3: Cross multiply
    208,561x = 455,374 × 455,374
  4. Step 4: Simplify right side
    208,561x = 207,365,479,876
  5. Step 5: Solve for x
    x = 207,365,479,876/208,561
  6. Step 6: Final answer
    x = 994,267.77

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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.