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Finding the Third Proportional to 217,800 and 469,944

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Solution

The third proportional to 217,800 and 469,944 is: 1,013,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,800 : 469,944 = 469,944 : x
  2. Step 2: Convert to fraction form
    217,800/469,944 = 469,944/x
  3. Step 3: Cross multiply
    217,800x = 469,944 × 469,944
  4. Step 4: Simplify right side
    217,800x = 220,847,363,136
  5. Step 5: Solve for x
    x = 220,847,363,136/217,800
  6. Step 6: Final answer
    x = 1,013,991.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.