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Finding the Third Proportional to 216,529 and 472,406

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Solution

The third proportional to 216,529 and 472,406 is: 1,030,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,529 : 472,406 = 472,406 : x
  2. Step 2: Convert to fraction form
    216,529/472,406 = 472,406/x
  3. Step 3: Cross multiply
    216,529x = 472,406 × 472,406
  4. Step 4: Simplify right side
    216,529x = 223,167,428,836
  5. Step 5: Solve for x
    x = 223,167,428,836/216,529
  6. Step 6: Final answer
    x = 1,030,658.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.