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Finding the Third Proportional to 210,466 and 447,220

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Solution

The third proportional to 210,466 and 447,220 is: 950,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,466 : 447,220 = 447,220 : x
  2. Step 2: Convert to fraction form
    210,466/447,220 = 447,220/x
  3. Step 3: Cross multiply
    210,466x = 447,220 × 447,220
  4. Step 4: Simplify right side
    210,466x = 200,005,728,400
  5. Step 5: Solve for x
    x = 200,005,728,400/210,466
  6. Step 6: Final answer
    x = 950,299.47

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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.