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Finding the Third Proportional to 378,576 and 807,687

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Solution

The third proportional to 378,576 and 807,687 is: 1,723,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,576 : 807,687 = 807,687 : x
  2. Step 2: Convert to fraction form
    378,576/807,687 = 807,687/x
  3. Step 3: Cross multiply
    378,576x = 807,687 × 807,687
  4. Step 4: Simplify right side
    378,576x = 652,358,289,969
  5. Step 5: Solve for x
    x = 652,358,289,969/378,576
  6. Step 6: Final answer
    x = 1,723,189.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.