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Finding the Third Proportional to 279,506 and 620,932

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Solution

The third proportional to 279,506 and 620,932 is: 1,379,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,506 : 620,932 = 620,932 : x
  2. Step 2: Convert to fraction form
    279,506/620,932 = 620,932/x
  3. Step 3: Cross multiply
    279,506x = 620,932 × 620,932
  4. Step 4: Simplify right side
    279,506x = 385,556,548,624
  5. Step 5: Solve for x
    x = 385,556,548,624/279,506
  6. Step 6: Final answer
    x = 1,379,421.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.