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Finding the Third Proportional to 280,576 and 378,024

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Solution

The third proportional to 280,576 and 378,024 is: 509,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,576 : 378,024 = 378,024 : x
  2. Step 2: Convert to fraction form
    280,576/378,024 = 378,024/x
  3. Step 3: Cross multiply
    280,576x = 378,024 × 378,024
  4. Step 4: Simplify right side
    280,576x = 142,902,144,576
  5. Step 5: Solve for x
    x = 142,902,144,576/280,576
  6. Step 6: Final answer
    x = 509,317.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.