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Finding the Third Proportional to 208,172 and 454,060

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Solution

The third proportional to 208,172 and 454,060 is: 990,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,172 : 454,060 = 454,060 : x
  2. Step 2: Convert to fraction form
    208,172/454,060 = 454,060/x
  3. Step 3: Cross multiply
    208,172x = 454,060 × 454,060
  4. Step 4: Simplify right side
    208,172x = 206,170,483,600
  5. Step 5: Solve for x
    x = 206,170,483,600/208,172
  6. Step 6: Final answer
    x = 990,385.28

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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.