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Finding the Third Proportional to 208,484 and 455,196

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Solution

The third proportional to 208,484 and 455,196 is: 993,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,484 : 455,196 = 455,196 : x
  2. Step 2: Convert to fraction form
    208,484/455,196 = 455,196/x
  3. Step 3: Cross multiply
    208,484x = 455,196 × 455,196
  4. Step 4: Simplify right side
    208,484x = 207,203,398,416
  5. Step 5: Solve for x
    x = 207,203,398,416/208,484
  6. Step 6: Final answer
    x = 993,857.55

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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.