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Finding the Third Proportional to 306,715.50 and 628,731

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Solution

The third proportional to 306,715.50 and 628,731 is: 1,288,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,715.50 : 628,731 = 628,731 : x
  2. Step 2: Convert to fraction form
    306,715.50/628,731 = 628,731/x
  3. Step 3: Cross multiply
    306,715.50x = 628,731 × 628,731
  4. Step 4: Simplify right side
    306,715.50x = 395,302,670,361
  5. Step 5: Solve for x
    x = 395,302,670,361/306,715.50
  6. Step 6: Final answer
    x = 1,288,825.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.