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Finding the Third Proportional to 216,057 and 311,237

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Solution

The third proportional to 216,057 and 311,237 is: 448,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,057 : 311,237 = 311,237 : x
  2. Step 2: Convert to fraction form
    216,057/311,237 = 311,237/x
  3. Step 3: Cross multiply
    216,057x = 311,237 × 311,237
  4. Step 4: Simplify right side
    216,057x = 96,868,470,169
  5. Step 5: Solve for x
    x = 96,868,470,169/216,057
  6. Step 6: Final answer
    x = 448,346.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.