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Finding the Third Proportional to 410,244 and 620,844

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Solution

The third proportional to 410,244 and 620,844 is: 939,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,244 : 620,844 = 620,844 : x
  2. Step 2: Convert to fraction form
    410,244/620,844 = 620,844/x
  3. Step 3: Cross multiply
    410,244x = 620,844 × 620,844
  4. Step 4: Simplify right side
    410,244x = 385,447,272,336
  5. Step 5: Solve for x
    x = 385,447,272,336/410,244
  6. Step 6: Final answer
    x = 939,556.15

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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.