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Finding the Third Proportional to 217,037 and 322,407

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Solution

The third proportional to 217,037 and 322,407 is: 478,933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,037 : 322,407 = 322,407 : x
  2. Step 2: Convert to fraction form
    217,037/322,407 = 322,407/x
  3. Step 3: Cross multiply
    217,037x = 322,407 × 322,407
  4. Step 4: Simplify right side
    217,037x = 103,946,273,649
  5. Step 5: Solve for x
    x = 103,946,273,649/217,037
  6. Step 6: Final answer
    x = 478,933.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.