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Finding the Third Proportional to 208,534 and 455,306

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Solution

The third proportional to 208,534 and 455,306 is: 994,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,534 : 455,306 = 455,306 : x
  2. Step 2: Convert to fraction form
    208,534/455,306 = 455,306/x
  3. Step 3: Cross multiply
    208,534x = 455,306 × 455,306
  4. Step 4: Simplify right side
    208,534x = 207,303,553,636
  5. Step 5: Solve for x
    x = 207,303,553,636/208,534
  6. Step 6: Final answer
    x = 994,099.54

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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.