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Finding the Third Proportional to 410,253 and 620,847

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Solution

The third proportional to 410,253 and 620,847 is: 939,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,253 : 620,847 = 620,847 : x
  2. Step 2: Convert to fraction form
    410,253/620,847 = 620,847/x
  3. Step 3: Cross multiply
    410,253x = 620,847 × 620,847
  4. Step 4: Simplify right side
    410,253x = 385,450,997,409
  5. Step 5: Solve for x
    x = 385,450,997,409/410,253
  6. Step 6: Final answer
    x = 939,544.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.