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Finding the Third Proportional to 208,197 and 457,308

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Solution

The third proportional to 208,197 and 457,308 is: 1,004,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,197 : 457,308 = 457,308 : x
  2. Step 2: Convert to fraction form
    208,197/457,308 = 457,308/x
  3. Step 3: Cross multiply
    208,197x = 457,308 × 457,308
  4. Step 4: Simplify right side
    208,197x = 209,130,606,864
  5. Step 5: Solve for x
    x = 209,130,606,864/208,197
  6. Step 6: Final answer
    x = 1,004,484.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.