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Finding the Third Proportional to 410,256 and 620,851

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Solution

The third proportional to 410,256 and 620,851 is: 939,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,256 : 620,851 = 620,851 : x
  2. Step 2: Convert to fraction form
    410,256/620,851 = 620,851/x
  3. Step 3: Cross multiply
    410,256x = 620,851 × 620,851
  4. Step 4: Simplify right side
    410,256x = 385,455,964,201
  5. Step 5: Solve for x
    x = 385,455,964,201/410,256
  6. Step 6: Final answer
    x = 939,549.85

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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.