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Finding the Third Proportional to 208,487 and 455,206

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Solution

The third proportional to 208,487 and 455,206 is: 993,886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,487 : 455,206 = 455,206 : x
  2. Step 2: Convert to fraction form
    208,487/455,206 = 455,206/x
  3. Step 3: Cross multiply
    208,487x = 455,206 × 455,206
  4. Step 4: Simplify right side
    208,487x = 207,212,502,436
  5. Step 5: Solve for x
    x = 207,212,502,436/208,487
  6. Step 6: Final answer
    x = 993,886.92

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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.