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Finding the Third Proportional to 208,172 and 457,816

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Solution

The third proportional to 208,172 and 457,816 is: 1,006,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,172 : 457,816 = 457,816 : x
  2. Step 2: Convert to fraction form
    208,172/457,816 = 457,816/x
  3. Step 3: Cross multiply
    208,172x = 457,816 × 457,816
  4. Step 4: Simplify right side
    208,172x = 209,595,489,856
  5. Step 5: Solve for x
    x = 209,595,489,856/208,172
  6. Step 6: Final answer
    x = 1,006,838.05

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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.