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Finding the Third Proportional to 289,888 and 628,024

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Solution

The third proportional to 289,888 and 628,024 is: 1,360,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,888 : 628,024 = 628,024 : x
  2. Step 2: Convert to fraction form
    289,888/628,024 = 628,024/x
  3. Step 3: Cross multiply
    289,888x = 628,024 × 628,024
  4. Step 4: Simplify right side
    289,888x = 394,414,144,576
  5. Step 5: Solve for x
    x = 394,414,144,576/289,888
  6. Step 6: Final answer
    x = 1,360,574.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.