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Finding the Third Proportional to 208,526 and 455,290

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Solution

The third proportional to 208,526 and 455,290 is: 994,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,526 : 455,290 = 455,290 : x
  2. Step 2: Convert to fraction form
    208,526/455,290 = 455,290/x
  3. Step 3: Cross multiply
    208,526x = 455,290 × 455,290
  4. Step 4: Simplify right side
    208,526x = 207,288,984,100
  5. Step 5: Solve for x
    x = 207,288,984,100/208,526
  6. Step 6: Final answer
    x = 994,067.81

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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.