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Finding the Third Proportional to 208,558 and 455,360

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Solution

The third proportional to 208,558 and 455,360 is: 994,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,558 : 455,360 = 455,360 : x
  2. Step 2: Convert to fraction form
    208,558/455,360 = 455,360/x
  3. Step 3: Cross multiply
    208,558x = 455,360 × 455,360
  4. Step 4: Simplify right side
    208,558x = 207,352,729,600
  5. Step 5: Solve for x
    x = 207,352,729,600/208,558
  6. Step 6: Final answer
    x = 994,220.93

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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.