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Finding the Third Proportional to 210,443 and 447,169

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Solution

The third proportional to 210,443 and 447,169 is: 950,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,443 : 447,169 = 447,169 : x
  2. Step 2: Convert to fraction form
    210,443/447,169 = 447,169/x
  3. Step 3: Cross multiply
    210,443x = 447,169 × 447,169
  4. Step 4: Simplify right side
    210,443x = 199,960,114,561
  5. Step 5: Solve for x
    x = 199,960,114,561/210,443
  6. Step 6: Final answer
    x = 950,186.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.