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Finding the Third Proportional to 270,798 and 378,576

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Solution

The third proportional to 270,798 and 378,576 is: 529,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,798 : 378,576 = 378,576 : x
  2. Step 2: Convert to fraction form
    270,798/378,576 = 378,576/x
  3. Step 3: Cross multiply
    270,798x = 378,576 × 378,576
  4. Step 4: Simplify right side
    270,798x = 143,319,787,776
  5. Step 5: Solve for x
    x = 143,319,787,776/270,798
  6. Step 6: Final answer
    x = 529,249.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.