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Finding the Third Proportional to 208,563 and 455,378

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Solution

The third proportional to 208,563 and 455,378 is: 994,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,563 : 455,378 = 455,378 : x
  2. Step 2: Convert to fraction form
    208,563/455,378 = 455,378/x
  3. Step 3: Cross multiply
    208,563x = 455,378 × 455,378
  4. Step 4: Simplify right side
    208,563x = 207,369,122,884
  5. Step 5: Solve for x
    x = 207,369,122,884/208,563
  6. Step 6: Final answer
    x = 994,275.70

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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.