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Finding the Third Proportional to 208,549 and 455,319

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Solution

The third proportional to 208,549 and 455,319 is: 994,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,549 : 455,319 = 455,319 : x
  2. Step 2: Convert to fraction form
    208,549/455,319 = 455,319/x
  3. Step 3: Cross multiply
    208,549x = 455,319 × 455,319
  4. Step 4: Simplify right side
    208,549x = 207,315,391,761
  5. Step 5: Solve for x
    x = 207,315,391,761/208,549
  6. Step 6: Final answer
    x = 994,084.80

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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.