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Finding the Third Proportional to 207,623 and 311,435

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Solution

The third proportional to 207,623 and 311,435 is: 467,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,623 : 311,435 = 311,435 : x
  2. Step 2: Convert to fraction form
    207,623/311,435 = 311,435/x
  3. Step 3: Cross multiply
    207,623x = 311,435 × 311,435
  4. Step 4: Simplify right side
    207,623x = 96,991,759,225
  5. Step 5: Solve for x
    x = 96,991,759,225/207,623
  6. Step 6: Final answer
    x = 467,153.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.