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Finding the Third Proportional to 447,636 and 694,146

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Solution

The third proportional to 447,636 and 694,146 is: 1,076,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,636 : 694,146 = 694,146 : x
  2. Step 2: Convert to fraction form
    447,636/694,146 = 694,146/x
  3. Step 3: Cross multiply
    447,636x = 694,146 × 694,146
  4. Step 4: Simplify right side
    447,636x = 481,838,669,316
  5. Step 5: Solve for x
    x = 481,838,669,316/447,636
  6. Step 6: Final answer
    x = 1,076,407.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.