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Finding the Third Proportional to 281,488 and 620,576

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Solution

The third proportional to 281,488 and 620,576 is: 1,368,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,488 : 620,576 = 620,576 : x
  2. Step 2: Convert to fraction form
    281,488/620,576 = 620,576/x
  3. Step 3: Cross multiply
    281,488x = 620,576 × 620,576
  4. Step 4: Simplify right side
    281,488x = 385,114,571,776
  5. Step 5: Solve for x
    x = 385,114,571,776/281,488
  6. Step 6: Final answer
    x = 1,368,138.51

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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.