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Finding the Third Proportional to 282,462 and 620,910

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Solution

The third proportional to 282,462 and 620,910 is: 1,364,888.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,462 : 620,910 = 620,910 : x
  2. Step 2: Convert to fraction form
    282,462/620,910 = 620,910/x
  3. Step 3: Cross multiply
    282,462x = 620,910 × 620,910
  4. Step 4: Simplify right side
    282,462x = 385,529,228,100
  5. Step 5: Solve for x
    x = 385,529,228,100/282,462
  6. Step 6: Final answer
    x = 1,364,888.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.